10298772088900 has 81 divisors (see below), whose sum is σ = 22450542138661. Its totient is φ = 4100754446080.

The previous prime is 10298772088897. The next prime is 10298772088931. The reversal of 10298772088900 is 988027789201.

The square root of 10298772088900 is 3209170.

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 10122667644996 + 176104443904 = 3181614^2 + 419648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8632666704 + ... + 8632667896.

Almost surely, 2^{10298772088900} is an apocalyptic number.

10298772088900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10298772088900 is the 3209170-th square number.

It is an amenable number.

10298772088900 is an abundant number, since it is smaller than the sum of its proper divisors (12151770049761).

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

10298772088900 is an frugal number, since it uses more digits than its factorization.

10298772088900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 61.

The spelling of 10298772088900 in words is "ten trillion, two hundred ninety-eight billion, seven hundred seventy-two million, eighty-eight thousand, nine hundred".