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108959904 = 2534127331
BaseRepresentation
bin1100111111010…
…01100010100000
321121000201220000
412133221202200
5210343204104
614451220000
72462100234
oct637514240
9247021800
10108959904
1156561209
12305a7600
131975cb21
14106845c4
159874639
hex67e98a0

108959904 has 120 divisors (see below), whose sum is σ = 323947008. Its totient is φ = 35925120.

The previous prime is 108959899. The next prime is 108959923. The reversal of 108959904 is 409959801.

It is a self number, because there is not a number n which added to its sum of digits gives 108959904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 329019 + ... + 329349.

Almost surely, 2108959904 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 108959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161973504).

108959904 is an abundant number, since it is smaller than the sum of its proper divisors (214987104).

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

108959904 is a wasteful number, since it uses less digits than its factorization.

108959904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 108959904 is about 10438.3860821489. The cubic root of 108959904 is about 477.6270381905.

The spelling of 108959904 in words is "one hundred eight million, nine hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 331 381 432 508 648 662 762 864 993 1016 1143 1296 1324 1524 1986 2032 2286 2592 2648 2979 3048 3429 3972 4064 4572 5296 5958 6096 6858 7944 8937 9144 10287 10592 11916 12192 13716 15888 17874 18288 20574 23832 26811 27432 31776 35748 36576 41148 42037 47664 53622 54864 71496 82296 84074 95328 107244 109728 126111 142992 164592 168148 214488 252222 285984 329184 336296 378333 428976 504444 672592 756666 857952 1008888 1134999 1345184 1513332 2017776 2269998 3026664 3404997 4035552 4539996 6053328 6809994 9079992 12106656 13619988 18159984 27239976 36319968 54479952 108959904