10450972900 has 27 divisors (see below), whose sum is σ = 22680829801. Its totient is φ = 4179980240.

The previous prime is 10450972877. The next prime is 10450972927. The reversal of 10450972900 is 927905401.

The square root of 10450972900 is 102230.

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., 3762350244 + 6688622656 = 61338^2 + 81784^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10450972900.

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, 1017189 + ... + 1027411.

Almost surely, 2^10450972900 is an apocalyptic number.

10450972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10450972900 is the 102230-th square number.

It is an amenable number.

10450972900 is an abundant number, since it is smaller than the sum of its proper divisors (12229856901).

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

10450972900 is an frugal number, since it uses more digits than its factorization.

10450972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20460 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10450972900 in words is "ten billion, four hundred fifty million, nine hundred seventy-two thousand, nine hundred".