100986368 has 80 divisors (see below), whose sum is σ = 242901120. Its totient is φ = 40974336.

The previous prime is 100986367. The next prime is 100986377. The reversal of 100986368 is 863689001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100986367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67355 + ... + 68837.

It is an arithmetic number, because the mean of its divisors is an integer number (3036264).

Almost surely, 2^100986368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450560).

100986368 is an abundant number, since it is smaller than the sum of its proper divisors (141914752).

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

100986368 is an equidigital number, since it uses as much as digits as its factorization.

100986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 100986368 is about 10049.1973808857. The cubic root of 100986368 is about 465.6799979058.

The spelling of 100986368 in words is "one hundred million, nine hundred eighty-six thousand, three hundred sixty-eight".