10900032 has 112 divisors (see below), whose sum is σ = 33966912. Its totient is φ = 3041280.

The previous prime is 10900031. The next prime is 10900037. The reversal of 10900032 is 23000901.

It is a junction number, because it is equal to n+sod(n) for n = 10899984 and 10900020.

It is not an unprimeable number, because it can be changed into a prime (10900031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27258 + ... + 27654.

It is an arithmetic number, because the mean of its divisors is an integer number (303276).

Almost surely, 2^10900032 is an apocalyptic number.

10900032 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 10900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983456).

10900032 is an abundant number, since it is smaller than the sum of its proper divisors (23066880).

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

10900032 is a wasteful number, since it uses less digits than its factorization.

10900032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10900032 is about 3301.5196501005. The cubic root of 10900032 is about 221.7222400721.

Adding to 10900032 its reverse (23000901), we get a palindrome (33900933).

The spelling of 10900032 in words is "ten million, nine hundred thousand, thirty-two".