100688868 has 72 divisors (see below), whose sum is σ = 300285440. Its totient is φ = 27838080.

The previous prime is 100688839. The next prime is 100688881. The reversal of 100688868 is 868886001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368 + ... + 14256.

Almost surely, 2^100688868 is an apocalyptic number.

100688868 is a gapful number since it is divisible by the number (18) 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 100688868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150142720).

100688868 is an abundant number, since it is smaller than the sum of its proper divisors (199596572).

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

100688868 is a wasteful number, since it uses less digits than its factorization.

100688868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12937 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 100688868 is about 10034.3842860437. The cubic root of 100688868 is about 465.2222593396. Note that the first 4 decimals are identical.

The spelling of 100688868 in words is "one hundred million, six hundred eighty-eight thousand, eight hundred sixty-eight".