84616992100 has 81 divisors (see below), whose sum is σ = 193918324761. Its totient is φ = 32044442400.

The previous prime is 84616992079. The next prime is 84616992137. The reversal of 84616992100 is 129961648.

It is a happy number.

The square root of 84616992100 is 290890.

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., 30462117156 + 54154874944 = 174534^2 + 232712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55268335 + ... + 55269865.

Almost surely, 2^84616992100 is an apocalyptic number.

84616992100 is the 290890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84616992100

84616992100 is an abundant number, since it is smaller than the sum of its proper divisors (109301332661).

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

84616992100 is a wasteful number, since it uses less digits than its factorization.

84616992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 84616992100 in words is "eighty-four billion, six hundred sixteen million, nine hundred ninety-two thousand, one hundred".