100616320 has 128 divisors (see below), whose sum is σ = 282792960. Its totient is φ = 33509376.

The previous prime is 100616311. The next prime is 100616323. The reversal of 100616320 is 23616001.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100616323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165457 + ... + 166063.

It is an arithmetic number, because the mean of its divisors is an integer number (2209320).

Almost surely, 2^100616320 is an apocalyptic number.

100616320 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 100616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141396480).

100616320 is an abundant number, since it is smaller than the sum of its proper divisors (182176640).

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

100616320 is an equidigital number, since it uses as much as digits as its factorization.

100616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100616320 is about 10030.7686644644. The cubic root of 100616320 is about 465.1104990413.

The spelling of 100616320 in words is "one hundred million, six hundred sixteen thousand, three hundred twenty".