100218960 has 120 divisors (see below), whose sum is σ = 339922440. Its totient is φ = 26459136.

The previous prime is 100218959. The next prime is 100218971. The reversal of 100218960 is 69812001.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 76947984 = 4824^2 + 8772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77842 + ... + 79118.

It is an arithmetic number, because the mean of its divisors is an integer number (2832687).

Almost surely, 2^100218960 is an apocalyptic number.

100218960 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 100218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169961220).

100218960 is an abundant number, since it is smaller than the sum of its proper divisors (239703480).

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

100218960 is a wasteful number, since it uses less digits than its factorization.

100218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100218960 is about 10010.9420136169. The cubic root of 100218960 is about 464.4974104987.

It can be divided in two parts, 10021 and 8960, that added together give a palindrome (18981).

The spelling of 100218960 in words is "one hundred million, two hundred eighteen thousand, nine hundred sixty".