103315080960 has 1944 divisors, whose sum is σ = 487397237040. Its totient is φ = 20651065344.

The previous prime is 103315080959. The next prime is 103315080983. The reversal of 103315080960 is 69080513301.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5437635831 + ... + 5437635849.

Almost surely, 2^103315080960 is an apocalyptic number.

103315080960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103315080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243698618520).

103315080960 is an abundant number, since it is smaller than the sum of its proper divisors (384082156080).

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

103315080960 is a wasteful number, since it uses less digits than its factorization.

103315080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 103315080960 in words is "one hundred three billion, three hundred fifteen million, eighty thousand, nine hundred sixty".