103415664960 has 84 divisors (see below), whose sum is σ = 355706807508. Its totient is φ = 27577509888.

The previous prime is 103415664949. The next prime is 103415665019. The reversal of 103415664960 is 69466514301.

103415664960 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 156 + 6 + 496 + 0 = 666.

103415664960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72938885184 + 30476779776 = 270072^2 + 174576^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17951229 + ... + 17956988.

Almost surely, 2^103415664960 is an apocalyptic number.

103415664960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103415664960 is an abundant number, since it is smaller than the sum of its proper divisors (252291142548).

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

103415664960 is a wasteful number, since it uses less digits than its factorization.

103415664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35908240 (or 35908227 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 103415664960 in words is "one hundred three billion, four hundred fifteen million, six hundred sixty-four thousand, nine hundred sixty".