103907083392 has 512 divisors, whose sum is σ = 376288934400. Its totient is φ = 27550679040.

The previous prime is 103907083373. The next prime is 103907083421. The reversal of 103907083392 is 293380709301.

103907083392 is a `hidden beast` number, since 103 + 90 + 70 + 8 + 3 + 392 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30020542 + ... + 30024002.

It is an arithmetic number, because the mean of its divisors is an integer number (734939325).

Almost surely, 2^103907083392 is an apocalyptic number.

103907083392 is a gapful number since it is divisible by the number (12) 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 103907083392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188144467200).

103907083392 is an abundant number, since it is smaller than the sum of its proper divisors (272381851008).

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

103907083392 is a wasteful number, since it uses less digits than its factorization.

103907083392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 103907083392 in words is "one hundred three billion, nine hundred seven million, eighty-three thousand, three hundred ninety-two".