11731056100 has 27 divisors (see below), whose sum is σ = 25458742281. Its totient is φ = 4691989200.

The previous prime is 11731056083. The next prime is 11731056143. The reversal of 11731056100 is 165013711.

The square root of 11731056100 is 108310.

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., 4223180196 + 7507875904 = 64986^2 + 86648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

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, 1077685 + ... + 1088515.

Almost surely, 2^11731056100 is an apocalyptic number.

11731056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11731056100 is the 108310-th square number.

It is an amenable number.

11731056100 is an abundant number, since it is smaller than the sum of its proper divisors (13727686181).

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

11731056100 is an frugal number, since it uses more digits than its factorization.

11731056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21676 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

Multiplying 11731056100 by its sum of digits (25), we get a square (293276402500 = 541550²).

11731056100 divided by its sum of digits (25) gives a square (469242244 = 21662²).

Adding to 11731056100 its reverse (165013711), we get a palindrome (11896069811).

The spelling of 11731056100 in words is "eleven billion, seven hundred thirty-one million, fifty-six thousand, one hundred".