10857132 has 192 divisors, whose sum is σ = 35750400. Its totient is φ = 2799360.

The previous prime is 10857097. The next prime is 10857137. The reversal of 10857132 is 23175801.

10857132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10857096 and 10857105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293418 + ... + 293454.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 2^10857132 is an apocalyptic number.

10857132 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 10857132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

10857132 is an abundant number, since it is smaller than the sum of its proper divisors (24893268).

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

10857132 is a wasteful number, since it uses less digits than its factorization.

10857132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10857132 is about 3295.0162366823. The cubic root of 10857132 is about 221.4309751684.

It can be divided in two parts, 108 and 57132, that multiplied together give a square (6170256 = 2484²).

The spelling of 10857132 in words is "ten million, eight hundred fifty-seven thousand, one hundred thirty-two".