10682132000 has 48 divisors (see below), whose sum is σ = 26246008152. Its totient is φ = 4272851200.

The previous prime is 10682131961. The next prime is 10682132017. The reversal of 10682132000 is 23128601.

It can be written as a sum of positive squares in 4 ways, for example, as 6836643856 + 3845488144 = 82684^2 + 62012^2 .

It is a super-2 number, since 2×10682132000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331267 + ... + 1339266.

Almost surely, 2^10682132000 is an apocalyptic number.

10682132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10682132000 is an abundant number, since it is smaller than the sum of its proper divisors (15563876152).

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

10682132000 is an equidigital number, since it uses as much as digits as its factorization.

10682132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670558 (or 2670540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 10682132000 in words is "ten billion, six hundred eighty-two million, one hundred thirty-two thousand".