83102316 has 72 divisors (see below), whose sum is σ = 218256192. Its totient is φ = 24596880.

The previous prime is 83102293. The next prime is 83102329. The reversal of 83102316 is 61320138.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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, 1932591 + ... + 1932633.

It is an arithmetic number, because the mean of its divisors is an integer number (3031336).

Almost surely, 2^83102316 is an apocalyptic number.

83102316 is a gapful number since it is divisible by the number (86) 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 83102316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109128096).

83102316 is an abundant number, since it is smaller than the sum of its proper divisors (135153876).

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

83102316 is an equidigital number, since it uses as much as digits as its factorization.

83102316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83102316 is about 9116.0471696893. The cubic root of 83102316 is about 436.3862343568.

The spelling of 83102316 in words is "eighty-three million, one hundred two thousand, three hundred sixteen".