100359216 has 80 divisors (see below), whose sum is σ = 303254400. Its totient is φ = 31689792.

The previous prime is 100359199. The next prime is 100359223. The reversal of 100359216 is 612953001.

It is a super-2 number, since 2×100359216² = 20143944472269312, which contains 22 as substring.

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 100359216.

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, 2095 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (3790680).

Almost surely, 2^100359216 is an apocalyptic number.

100359216 is a gapful number since it is divisible by the number (16) 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 100359216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151627200).

100359216 is an abundant number, since it is smaller than the sum of its proper divisors (202895184).

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

100359216 is a wasteful number, since it uses less digits than its factorization.

100359216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100359216 is about 10017.9446993882. The cubic root of 100359216 is about 464.7139968636.

The spelling of 100359216 in words is "one hundred million, three hundred fifty-nine thousand, two hundred sixteen".