83120100 has 72 divisors (see below), whose sum is σ = 274857408. Its totient is φ = 18998400.

The previous prime is 83120069. The next prime is 83120113. The reversal of 83120100 is 102138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 83120100.

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, 17691 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (3817464).

Almost surely, 2^83120100 is an apocalyptic number.

It is an amenable number.

83120100 is an abundant number, since it is smaller than the sum of its proper divisors (191737308).

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

83120100 is a wasteful number, since it uses less digits than its factorization.

83120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39605 (or 39598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 83120100 is about 9117.0225402814. The cubic root of 83120100 is about 436.4173612040.

Adding to 83120100 its reverse (102138), we get a palindrome (83222238).

The spelling of 83120100 in words is "eighty-three million, one hundred twenty thousand, one hundred".