102016613205 has 24 divisors (see below), whose sum is σ = 190431012408. Its totient is φ = 50223563136.

The previous prime is 102016613147. The next prime is 102016613207. The reversal of 102016613205 is 502316610201.

102016613205 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 6 + 613 + 20 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 667343889 + 101349269316 = 25833^2 + 318354^2 .

It is not a de Polignac number, because 102016613205 - 2⁷ = 102016613077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102016613207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87193102 + ... + 87194271.

It is an arithmetic number, because the mean of its divisors is an integer number (7934625517).

Almost surely, 2^102016613205 is an apocalyptic number.

102016613205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102016613205 is a deficient number, since it is larger than the sum of its proper divisors (88414399203).

102016613205 is a wasteful number, since it uses less digits than its factorization.

102016613205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174387397 (or 174387394 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 102016613205 in words is "one hundred two billion, sixteen million, six hundred thirteen thousand, two hundred five".