10104896592400 has 45 divisors (see below), whose sum is σ = 24277166806503. Its totient is φ = 4041933206400.

The previous prime is 10104896592331. The next prime is 10104896592437. The reversal of 10104896592400 is 429569840101.

The square root of 10104896592400 is 3178820.

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 1333442943504 + 8771453648896 = 1154748^2 + 2961664^2 .

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, 63496930 + ... + 63655870.

Almost surely, 2^{10104896592400} is an apocalyptic number.

10104896592400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10104896592400 is the 3178820-th square number.

It is an amenable number.

10104896592400 is an abundant number, since it is smaller than the sum of its proper divisors (14172270214103).

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

10104896592400 is an frugal number, since it uses more digits than its factorization.

10104896592400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317900 (or 158948 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 10104896592400 by its sum of digits (49), we get a square (495139933027600 = 22251740²).

The spelling of 10104896592400 in words is "ten trillion, one hundred four billion, eight hundred ninety-six million, five hundred ninety-two thousand, four hundred".