103800816 has 180 divisors, whose sum is σ = 346218912. Its totient is φ = 28933632.

The previous prime is 103800791. The next prime is 103800821. The reversal of 103800816 is 618008301.

It is a self number, because there is not a number n which added to its sum of digits gives 103800816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331476 + ... + 331788.

Almost surely, 2^103800816 is an apocalyptic number.

103800816 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 103800816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173109456).

103800816 is an abundant number, since it is smaller than the sum of its proper divisors (242418096).

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

103800816 is a wasteful number, since it uses less digits than its factorization.

103800816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 103800816 is about 10188.2685476974. The cubic root of 103800816 is about 469.9665224382.

The spelling of 103800816 in words is "one hundred three million, eight hundred thousand, eight hundred sixteen".