11770080100 has 81 divisors (see below), whose sum is σ = 27003383001. Its totient is φ = 4452429600.

The previous prime is 11770080037. The next prime is 11770080107. The reversal of 11770080100 is 108007711.

The square root of 11770080100 is 108490.

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., 4237228836 + 7532851264 = 65094^2 + 86792^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11770080107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20612815 + ... + 20613385.

Almost surely, 2^11770080100 is an apocalyptic number.

11770080100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11770080100 is the 108490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11770080100

11770080100 is an abundant number, since it is smaller than the sum of its proper divisors (15233302901).

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

11770080100 is an equidigital number, since it uses as much as digits as its factorization.

11770080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 25.

Multiplying 11770080100 by its sum of digits (25), we get a square (294252002500 = 542450²).

11770080100 divided by its sum of digits (25) gives a square (470803204 = 21698²).

Adding to 11770080100 its reverse (108007711), we get a palindrome (11878087811).

The spelling of 11770080100 in words is "eleven billion, seven hundred seventy million, eighty thousand, one hundred".