100068864 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 27770880.

The previous prime is 100068769. The next prime is 100068889. The reversal of 100068864 is 468860001.

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, 440719 + ... + 440945.

Almost surely, 2^100068864 is an apocalyptic number.

100068864 is a gapful number since it is divisible by the number (14) 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 100068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

100068864 is an abundant number, since it is smaller than the sum of its proper divisors (213411072).

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

100068864 is an equidigital number, since it uses as much as digits as its factorization.

100068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 100068864 is about 10003.4426074227. The cubic root of 100068864 is about 464.2654050378.

The spelling of 100068864 in words is "one hundred million, sixty-eight thousand, eight hundred sixty-four".