103792968 has 64 divisors (see below), whose sum is σ = 290472000. Its totient is φ = 34338816.

The previous prime is 103792883. The next prime is 103792979. The reversal of 103792968 is 869297301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28296 + ... + 31752.

It is an arithmetic number, because the mean of its divisors is an integer number (4538625).

Almost surely, 2^103792968 is an apocalyptic number.

103792968 is a gapful number since it is divisible by the number (18) 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 103792968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145236000).

103792968 is an abundant number, since it is smaller than the sum of its proper divisors (186679032).

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

103792968 is a wasteful number, since it uses less digits than its factorization.

103792968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 103792968 is about 10187.8833915588. The cubic root of 103792968 is about 469.9546779898.

The spelling of 103792968 in words is "one hundred three million, seven hundred ninety-two thousand, nine hundred sixty-eight".