83100816 has 100 divisors (see below), whose sum is σ = 247160892. Its totient is φ = 26936064.

The previous prime is 83100781. The next prime is 83100821. The reversal of 83100816 is 61800138.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 25401600 = 7596^2 + 5040^2 .

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 83100816.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47086 + ... + 48818.

Almost surely, 2^83100816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123580446).

83100816 is an abundant number, since it is smaller than the sum of its proper divisors (164060076).

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

83100816 is a wasteful number, since it uses less digits than its factorization.

83100816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1775 counting only the distinct ones).

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

The square root of 83100816 is about 9115.9648968170. The cubic root of 83100816 is about 436.3836087449.

The spelling of 83100816 in words is "eighty-three million, one hundred thousand, eight hundred sixteen".