100525968 has 40 divisors (see below), whose sum is σ = 288548000. Its totient is φ = 33508512.

The previous prime is 100525967. The next prime is 100525991. The reversal of 100525968 is 869525001.

It is a happy number.

100525968 is a `hidden beast` number, since 10 + 0 + 52 + 596 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (100525967) 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 7 ways as a sum of consecutive naturals, for example, 115918 + ... + 116781.

It is an arithmetic number, because the mean of its divisors is an integer number (7213700).

Almost surely, 2^100525968 is an apocalyptic number.

100525968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100525968 is an abundant number, since it is smaller than the sum of its proper divisors (188022032).

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

100525968 is a wasteful number, since it uses less digits than its factorization.

100525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232716 (or 232704 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 100525968 is about 10026.2639103507. The cubic root of 100525968 is about 464.9712365143.

The spelling of 100525968 in words is "one hundred million, five hundred twenty-five thousand, nine hundred sixty-eight".