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109408104 = 23331347829
BaseRepresentation
bin1101000010101…
…10111101101000
321121212111201000
412201112331220
5211002024404
614504555000
72465645031
oct641267550
9247774630
10109408104
1156837a23
1230782a60
1319888b30
141075da88
159912339
hex6856f68

109408104 has 128 divisors (see below), whose sum is σ = 334656000. Its totient is φ = 32908032.

The previous prime is 109408081. The next prime is 109408111. The reversal of 109408104 is 401804901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131562 + ... + 132390.

It is an arithmetic number, because the mean of its divisors is an integer number (2614500).

Almost surely, 2109408104 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 109408104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167328000).

109408104 is an abundant number, since it is smaller than the sum of its proper divisors (225247896).

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

109408104 is a wasteful number, since it uses less digits than its factorization.

109408104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109408104 is about 10459.8328858543. The cubic root of 109408104 is about 478.2810389587.

It can be divided in two parts, 10940 and 8104, that added together give a square (19044 = 1382).

The spelling of 109408104 in words is "one hundred nine million, four hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 829 846 936 1128 1222 1269 1404 1658 1692 1833 2444 2487 2538 2808 3316 3384 3666 4888 4974 5076 5499 6632 7332 7461 9948 10152 10777 10998 14664 14922 16497 19896 21554 21996 22383 29844 32331 32994 38963 43108 43992 44766 59688 64662 65988 77926 86216 89532 96993 116889 129324 131976 155852 179064 193986 233778 258648 290979 311704 350667 387972 467556 506519 581958 701334 775944 935112 1013038 1052001 1163916 1402668 1519557 2026076 2104002 2327832 2805336 3039114 4052152 4208004 4558671 6078228 8416008 9117342 12156456 13676013 18234684 27352026 36469368 54704052 109408104