103792416 has 144 divisors (see below), whose sum is σ = 338433984. Its totient is φ = 27122688.

The previous prime is 103792397. The next prime is 103792439. The reversal of 103792416 is 614297301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952170 + ... + 952278.

It is an arithmetic number, because the mean of its divisors is an integer number (2350236).

Almost surely, 2^103792416 is an apocalyptic number.

103792416 is a gapful number since it is divisible by the number (16) 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 103792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169216992).

103792416 is an abundant number, since it is smaller than the sum of its proper divisors (234641568).

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

103792416 is a wasteful number, since it uses less digits than its factorization.

103792416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 103792416 is about 10187.8563005178. The cubic root of 103792416 is about 469.9538448716.

The spelling of 103792416 in words is "one hundred three million, seven hundred ninety-two thousand, four hundred sixteen".