100612320 has 96 divisors (see below), whose sum is σ = 318971520. Its totient is φ = 26657280.

The previous prime is 100612297. The next prime is 100612333. The reversal of 100612320 is 23216001.

It is a tau number, because it is divible by the number of its divisors (96).

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 100612320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85335 + ... + 86505.

It is an arithmetic number, because the mean of its divisors is an integer number (3322620).

Almost surely, 2^100612320 is an apocalyptic number.

100612320 is a gapful number since it is divisible by the number (10) 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 100612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159485760).

100612320 is an abundant number, since it is smaller than the sum of its proper divisors (218359200).

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

100612320 is a wasteful number, since it uses less digits than its factorization.

100612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100612320 is about 10030.5692759683. The cubic root of 100612320 is about 465.1043354732.

Adding to 100612320 its reverse (23216001), we get a palindrome (123828321).

The spelling of 100612320 in words is "one hundred million, six hundred twelve thousand, three hundred twenty".