10479616900 has 81 divisors (see below), whose sum is σ = 23618881741. Its totient is φ = 4035834880.

The previous prime is 10479616897. The next prime is 10479616921. The reversal of 10479616900 is 961697401.

It is a happy number.

The square root of 10479616900 is 102370.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7393592196 + 3086024704 = 85986^2 + 55552^2 .

It is a super-2 number, since 2×10479616900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29687124 + ... + 29687476.

Almost surely, 2^10479616900 is an apocalyptic number.

10479616900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10479616900 is the 102370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479616900

10479616900 is an abundant number, since it is smaller than the sum of its proper divisors (13139264841).

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

10479616900 is an equidigital number, since it uses as much as digits as its factorization.

10479616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 10479616900 in words is "ten billion, four hundred seventy-nine million, six hundred sixteen thousand, nine hundred".