103620816 has 80 divisors (see below), whose sum is σ = 320326720. Its totient is φ = 31881600.

The previous prime is 103620809. The next prime is 103620821. The reversal of 103620816 is 618026301.

It is a super-3 number, since 3×103620816³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103620816.

It is a congruent number.

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, 3610 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (4004084).

Almost surely, 2^103620816 is an apocalyptic number.

103620816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103620816 is an abundant number, since it is smaller than the sum of its proper divisors (216705904).

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

103620816 is a wasteful number, since it uses less digits than its factorization.

103620816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18481 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103620816 is about 10179.4310253570. The cubic root of 103620816 is about 469.6947104482.

The spelling of 103620816 in words is "one hundred three million, six hundred twenty thousand, eight hundred sixteen".