365916108100 has 81 divisors (see below), whose sum is σ = 800535724023. Its totient is φ = 145178400000.

The previous prime is 365916108097. The next prime is 365916108101. The reversal of 365916108100 is 1801619563.

The square root of 365916108100 is 604910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5445554436 + 360470553664 = 73794^2 + 600392^2 .

It is a super-2 number, since 2×365916108100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (365916108101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1457832975 + ... + 1457833225.

Almost surely, 2^365916108100 is an apocalyptic number.

365916108100 is the 604910-th square number.

It is an amenable number.

365916108100 is an abundant number, since it is smaller than the sum of its proper divisors (434619615923).

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

365916108100 is an equidigital number, since it uses as much as digits as its factorization.

365916108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 365916108100 in words is "three hundred sixty-five billion, nine hundred sixteen million, one hundred eight thousand, one hundred".