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108245664 = 25321722109
BaseRepresentation
bin1100111001110…
…11001010100000
321112200110010200
412130323022200
5210202330124
614424025200
72453034012
oct634731240
9245613120
10108245664
115611362a
1230302200
131956c9b7
141053a1b2
159782bc9
hex673b2a0

108245664 has 72 divisors (see below), whose sum is σ = 325945620. Its totient is φ = 33957888.

The previous prime is 108245633. The next prime is 108245671. The reversal of 108245664 is 466542801.

108245664 is a `hidden beast` number, since 10 + 82 + 4 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 501264 = 10380^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 6159 + ... + 15950.

Almost surely, 2108245664 is an apocalyptic number.

It is an amenable number.

108245664 is an abundant number, since it is smaller than the sum of its proper divisors (217699956).

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

108245664 is a wasteful number, since it uses less digits than its factorization.

108245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 108245664 is about 10404.1176463937. The cubic root of 108245664 is about 476.5811229824.

The spelling of 108245664 in words is "one hundred eight million, two hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 22109 44218 66327 88436 132654 176872 198981 265308 353744 375853 397962 530616 707488 751706 795924 1061232 1127559 1503412 1591848 2122464 2255118 3006824 3183696 3382677 4510236 6013648 6367392 6765354 9020472 12027296 13530708 18040944 27061416 36081888 54122832 108245664