10132000 has 96 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 3788800.

The previous prime is 10131973. The next prime is 10132013. The reversal of 10132000 is 23101.

It can be written as a sum of positive squares in 8 ways, for example, as 121104 + 10010896 = 348^2 + 3164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67926 + ... + 68074.

Almost surely, 2^10132000 is an apocalyptic number.

10132000 is a gapful number since it is divisible by the number (10) 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 10132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

10132000 is an abundant number, since it is smaller than the sum of its proper divisors (16403600).

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

10132000 is a wasteful number, since it uses less digits than its factorization.

10132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10132000 is about 3183.0802691732. The cubic root of 10132000 is about 216.3872796019.

Adding to 10132000 its reverse (23101), we get a palindrome (10155101).

The spelling of 10132000 in words is "ten million, one hundred thirty-two thousand".