103997905920 has 528 divisors, whose sum is σ = 371779087680. Its totient is φ = 26867662848.

The previous prime is 103997905919. The next prime is 103997905939. The reversal of 103997905920 is 29509799301.

103997905920 is a `hidden beast` number, since 10 + 39 + 9 + 7 + 9 + 0 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236897061 + ... + 236897499.

It is an arithmetic number, because the mean of its divisors is an integer number (704127060).

Almost surely, 2^103997905920 is an apocalyptic number.

103997905920 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 103997905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185889543840).

103997905920 is an abundant number, since it is smaller than the sum of its proper divisors (267781181760).

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

103997905920 is a wasteful number, since it uses less digits than its factorization.

103997905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 103997905920 in words is "one hundred three billion, nine hundred ninety-seven million, nine hundred five thousand, nine hundred twenty".