11297564100 has 135 divisors (see below), whose sum is σ = 36653275351. Its totient is φ = 3010132800.

The previous prime is 11297564039. The next prime is 11297564119. The reversal of 11297564100 is 146579211.

The square root of 11297564100 is 106290.

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

11297564100 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 7 + 5 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1339120836 + 9958443264 = 36594^2 + 99792^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9565510 + ... + 9566690.

Almost surely, 2^11297564100 is an apocalyptic number.

11297564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11297564100 is the 106290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11297564100

11297564100 is an abundant number, since it is smaller than the sum of its proper divisors (25355711251).

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

11297564100 is an equidigital number, since it uses as much as digits as its factorization.

11297564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 11297564100 by its sum of digits (36), we get a square (406712307600 = 637740²).

11297564100 divided by its sum of digits (36) gives a square (313821225 = 17715²).

The spelling of 11297564100 in words is "eleven billion, two hundred ninety-seven million, five hundred sixty-four thousand, one hundred".