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107995981104 = 24331147483541
BaseRepresentation
bin110010010010100001…
…1111110010100110000
3101022202102111021021000
41210211003332110300
53232133432343404
6121340200402000
710542145456524
oct1444503762460
9338672437230
10107995981104
1141889a09050
1218b1b776300
13a2512764cb
145326d9dd84
152c211de339
hex19250fe530

107995981104 has 160 divisors (see below), whose sum is σ = 345365038080. Its totient is φ = 32029689600.

The previous prime is 107995981091. The next prime is 107995981109. The reversal of 107995981104 is 401189599701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (107995981109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18427 + ... + 465114.

It is an arithmetic number, because the mean of its divisors is an integer number (2158531488).

Almost surely, 2107995981104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107995981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172682519040).

107995981104 is an abundant number, since it is smaller than the sum of its proper divisors (237369056976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107995981104 is a wasteful number, since it uses less digits than its factorization.

107995981104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483616 (or 483604 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 107995981104 in words is "one hundred seven billion, nine hundred ninety-five million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 47 48 54 66 72 88 94 99 108 132 141 144 176 188 198 216 264 282 297 376 396 423 432 517 528 564 594 752 792 846 1034 1128 1188 1269 1551 1584 1692 2068 2256 2376 2538 3102 3384 4136 4653 4752 5076 6204 6768 8272 9306 10152 12408 13959 18612 20304 24816 27918 37224 55836 74448 111672 223344 483541 967082 1450623 1934164 2901246 3868328 4351869 5318951 5802492 7736656 8703738 10637902 11604984 13055607 15956853 17407476 21275804 22726427 23209968 26111214 31913706 34814952 42551608 45452854 47870559 52222428 63827412 68179281 69629904 85103216 90905708 95741118 104444856 127654824 136358562 143611677 181811416 191482236 204537843 208889712 249990697 255309648 272717124 287223354 363622832 382964472 409075686 499981394 545434248 574446708 613613529 749972091 765928944 818151372 999962788 1090868496 1148893416 1227227058 1499944182 1636302744 1999925576 2249916273 2297786832 2454454116 2999888364 3272605488 3999851152 4499832546 4908908232 5999776728 6749748819 8999665092 9817816464 11999553456 13499497638 17999330184 26998995276 35998660368 53997990552 107995981104