103906713600 has 1344 divisors, whose sum is σ = 429051110400. Its totient is φ = 24524881920.

The previous prime is 103906713593. The next prime is 103906713637. The reversal of 103906713600 is 6317609301.

103906713600 is a `hidden beast` number, since 1 + 0 + 39 + 0 + 6 + 7 + 13 + 600 = 666.

103906713600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2416435179 + ... + 2416435221.

Almost surely, 2^103906713600 is an apocalyptic number.

103906713600 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 103906713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214525555200).

103906713600 is an abundant number, since it is smaller than the sum of its proper divisors (325144396800).

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

103906713600 is a wasteful number, since it uses less digits than its factorization.

103906713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 103906713600 in words is "one hundred three billion, nine hundred six million, seven hundred thirteen thousand, six hundred".