103046502564 has 120 divisors (see below), whose sum is σ = 271189566648. Its totient is φ = 34119429120.

The previous prime is 103046502563. The next prime is 103046502577. The reversal of 103046502564 is 465205640301.

103046502564 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 46 + 50 + 2 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41959425600 + 61087076964 = 204840^2 + 247158^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103046502563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31990474 + ... + 31993694.

Almost surely, 2^103046502564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103046502564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135594783324).

103046502564 is an abundant number, since it is smaller than the sum of its proper divisors (168143064084).

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

103046502564 is a wasteful number, since it uses less digits than its factorization.

103046502564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 103046502564 in words is "one hundred three billion, forty-six million, five hundred two thousand, five hundred sixty-four".