10585152 has 168 divisors, whose sum is σ = 34235136. Its totient is φ = 3108864.

The previous prime is 10585139. The next prime is 10585163. The reversal of 10585152 is 25158501.

It is a super-2 number, since 2×10585152² = 224090885726208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225193 + ... + 225239.

Almost surely, 2^10585152 is an apocalyptic number.

10585152 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 10585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117568).

10585152 is an abundant number, since it is smaller than the sum of its proper divisors (23649984).

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

10585152 is a wasteful number, since it uses less digits than its factorization.

10585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 10585152 is about 3253.4830566640. The cubic root of 10585152 is about 219.5663081479.

The spelling of 10585152 in words is "ten million, five hundred eighty-five thousand, one hundred fifty-two".