10157632 has 28 divisors (see below), whose sum is σ = 20630896. Its totient is φ = 4959360.

The previous prime is 10157629. The next prime is 10157633. The reversal of 10157632 is 23675101.

10157632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10157597 and 10157606.

It is not an unprimeable number, because it can be changed into a prime (10157633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907 + ... + 4597.

Almost surely, 2^10157632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315448).

10157632 is an abundant number, since it is smaller than the sum of its proper divisors (10473264).

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

10157632 is an equidigital number, since it uses as much as digits as its factorization.

10157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 10157632 is about 3187.1040146189. The cubic root of 10157632 is about 216.5695985970.

The spelling of 10157632 in words is "ten million, one hundred fifty-seven thousand, six hundred thirty-two".