864918600100 has 27 divisors (see below), whose sum is σ = 1876893543651. Its totient is φ = 345963720000.

The previous prime is 864918600083. The next prime is 864918600101. The reversal of 864918600100 is 1006819468.

The square root of 864918600100 is 930010.

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 51877350756 + 813041249344 = 227766^2 + 901688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (864918600101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9253600 + ... + 9346600.

Almost surely, 2^864918600100 is an apocalyptic number.

864918600100 is the 930010-th square number.

It is an amenable number.

864918600100 is an abundant number, since it is smaller than the sum of its proper divisors (1011974943551).

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

864918600100 is an frugal number, since it uses more digits than its factorization.

864918600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186016 (or 93008 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 864918600100 in words is "eight hundred sixty-four billion, nine hundred eighteen million, six hundred thousand, one hundred".