100657152 has 144 divisors (see below), whose sum is σ = 299819520. Its totient is φ = 32514048.

The previous prime is 100657133. The next prime is 100657159. The reversal of 100657152 is 251756001.

100657152 is a `hidden beast` number, since 1 + 0 + 0 + 657 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100657152² = 20263724497502208, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100657159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792513 + ... + 792639.

It is an arithmetic number, because the mean of its divisors is an integer number (2082080).

Almost surely, 2^100657152 is an apocalyptic number.

100657152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

100657152 is an abundant number, since it is smaller than the sum of its proper divisors (199162368).

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

100657152 is a wasteful number, since it uses less digits than its factorization.

100657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 100657152 is about 10032.8037955499. The cubic root of 100657152 is about 465.1734074027.

The spelling of 100657152 in words is "one hundred million, six hundred fifty-seven thousand, one hundred fifty-two".