10604880400 has 135 divisors (see below), whose sum is σ = 26989351533. Its totient is φ = 4003862400.

The previous prime is 10604880389. The next prime is 10604880401. The reversal of 10604880400 is 408840601.

The square root of 10604880400 is 102980.

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

It can be written as a sum of positive squares in only one way, i.e., 3817756944 + 6787123456 = 61788^2 + 82384^2 .

It is a super-2 number, since 2×10604880400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10604880401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39132265 + ... + 39132535.

Almost surely, 2^10604880400 is an apocalyptic number.

10604880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10604880400 is the 102980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604880400

10604880400 is an abundant number, since it is smaller than the sum of its proper divisors (16384471133).

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

10604880400 is an equidigital number, since it uses as much as digits as its factorization.

10604880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 10604880400 in words is "ten billion, six hundred four million, eight hundred eighty thousand, four hundred".