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105473731902 = 237112912761987
BaseRepresentation
bin110001000111010111…
…0010110110100111110
3101002020122102201210220
41202032232112310332
53212002233410102
6120242020042210
710422510633360
oct1421656266476
9332218381726
10105473731902
1140805198980
1218536b33366
139c3b856c66
145167ddad30
152b24a6b1bc
hex188eb96d3e

105473731902 has 128 divisors (see below), whose sum is σ = 274215075840. Its totient is φ = 26242392960.

The previous prime is 105473731897. The next prime is 105473731999. The reversal of 105473731902 is 209137374501.

It is a super-3 number, since 3×1054737319023 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1670553 + ... + 1732539.

It is an arithmetic number, because the mean of its divisors is an integer number (2142305280).

Almost surely, 2105473731902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105473731902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137107537920).

105473731902 is an abundant number, since it is smaller than the sum of its proper divisors (168741343938).

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

105473731902 is a wasteful number, since it uses less digits than its factorization.

105473731902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62166.

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 105473731902 in words is "one hundred five billion, four hundred seventy-three million, seven hundred thirty-one thousand, nine hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 127 154 174 203 231 254 319 381 406 462 609 638 762 889 957 1218 1397 1778 1914 2233 2667 2794 3683 4191 4466 5334 6699 7366 8382 9779 11049 13398 19558 22098 25781 29337 40513 51562 58674 61987 77343 81026 121539 123974 154686 185961 243078 283591 371922 433909 567182 681857 850773 867818 1301727 1363714 1701546 1797623 2045571 2603454 3595246 4091142 4772999 5392869 7872349 9545998 10785738 12583361 14318997 15744698 19773853 23617047 25166722 28637994 37750083 39547706 47234094 55106443 59321559 75500166 86595839 110212886 118643118 138416971 165319329 173191678 228298121 259787517 276833942 330638658 415250913 456596242 519575034 606170873 684894363 830501826 1212341746 1369788726 1598086847 1818512619 2511279331 3196173694 3637025238 4794260541 5022558662 7533837993 9588521082 15067675986 17578955317 35157910634 52736865951 105473731902