10657152 has 144 divisors (see below), whose sum is σ = 34648380. Its totient is φ = 3118080.

The previous prime is 10657151. The next prime is 10657169. The reversal of 10657152 is 25175601.

10657152 is a `hidden beast` number, since 1 + 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 2×10657152² = 227149777502208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367474 + ... + 367502.

Almost surely, 2^10657152 is an apocalyptic number.

10657152 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 10657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324190).

10657152 is an abundant number, since it is smaller than the sum of its proper divisors (23991228).

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

10657152 is a wasteful number, since it uses less digits than its factorization.

10657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

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

The square root of 10657152 is about 3264.5293688371. The cubic root of 10657152 is about 220.0630122534.

The spelling of 10657152 in words is "ten million, six hundred fifty-seven thousand, one hundred fifty-two".