10382900 has 36 divisors (see below), whose sum is σ = 24581760. Its totient is φ = 3775200.

The previous prime is 10382893. The next prime is 10382917. The reversal of 10382900 is 928301.

It is a super-2 number, since 2×10382900² = 215609224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3620 + ... + 5819.

Almost surely, 2^10382900 is an apocalyptic number.

10382900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10382900 is an abundant number, since it is smaller than the sum of its proper divisors (14198860).

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

10382900 is a wasteful number, since it uses less digits than its factorization.

10382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10382900 is about 3222.2507661571. The cubic root of 10382900 is about 218.1588775333.

The spelling of 10382900 in words is "ten million, three hundred eighty-two thousand, nine hundred".