10925603052100 has 243 divisors, whose sum is σ = 26366034459933. Its totient is φ = 3926803320000.

The previous prime is 10925603052053. The next prime is 10925603052113. The reversal of 10925603052100 is 125030652901.

The square root of 10925603052100 is 3305390.

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., 3933217098756 + 6992385953344 = 1983234^2 + 2644312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54902527801 + ... + 54902527999.

Almost surely, 2^{10925603052100} is an apocalyptic number.

10925603052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10925603052100 is the 3305390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10925603052100

10925603052100 is an abundant number, since it is smaller than the sum of its proper divisors (15440431407833).

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

10925603052100 is a wasteful number, since it uses less digits than its factorization.

10925603052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 10925603052100 in words is "ten trillion, nine hundred twenty-five billion, six hundred three million, fifty-two thousand, one hundred".