916442436100 has 27 divisors (see below), whose sum is σ = 1988700860181. Its totient is φ = 366573145200.

The previous prime is 916442436023. The next prime is 916442436127. The reversal of 916442436100 is 1634244619.

The square root of 916442436100 is 957310.

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., 329919276996 + 586523159104 = 574386^2 + 765848^2 .

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, 9525235 + ... + 9620965.

Almost surely, 2^916442436100 is an apocalyptic number.

916442436100 is the 957310-th square number.

It is an amenable number.

916442436100 is an abundant number, since it is smaller than the sum of its proper divisors (1072258424081).

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

916442436100 is an frugal number, since it uses more digits than its factorization.

916442436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191476 (or 95738 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 916442436100 in words is "nine hundred sixteen billion, four hundred forty-two million, four hundred thirty-six thousand, one hundred".