10357132900 has 27 divisors (see below), whose sum is σ = 22477187019. Its totient is φ = 4142446080.

The previous prime is 10357132897. The next prime is 10357132913. The reversal of 10357132900 is 923175301.

The square root of 10357132900 is 101770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 10353469504 = 1914^2 + 101752^2 .

It is a super-3 number, since 3×10357132900³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1012612 + ... + 1022788.

Almost surely, 2^10357132900 is an apocalyptic number.

10357132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10357132900 is the 101770-th square number.

It is an amenable number.

10357132900 is an abundant number, since it is smaller than the sum of its proper divisors (12120054119).

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

10357132900 is an frugal number, since it uses more digits than its factorization.

10357132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20368 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The spelling of 10357132900 in words is "ten billion, three hundred fifty-seven million, one hundred thirty-two thousand, nine hundred".