100983816 has 48 divisors (see below), whose sum is σ = 274432860. Its totient is φ = 33546240.

The previous prime is 100983811. The next prime is 100983851. The reversal of 100983816 is 618389001.

It can be written as a sum of positive squares in 2 ways, for example, as 96943716 + 4040100 = 9846^2 + 2010^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100983811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20296 + ... + 24776.

Almost surely, 2^100983816 is an apocalyptic number.

It is an amenable number.

100983816 is an abundant number, since it is smaller than the sum of its proper divisors (173449044).

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

100983816 is a wasteful number, since it uses less digits than its factorization.

100983816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100983816 is about 10049.0704047688. The cubic root of 100983816 is about 465.6760751804.

The spelling of 100983816 in words is "one hundred million, nine hundred eighty-three thousand, eight hundred sixteen".