100942688 has 96 divisors (see below), whose sum is σ = 251693568. Its totient is φ = 38707200.

The previous prime is 100942657. The next prime is 100942693. The reversal of 100942688 is 886249001.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 174656 + ... + 175232.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808).

Almost surely, 2^100942688 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 100942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784).

100942688 is an abundant number, since it is smaller than the sum of its proper divisors (150750880).

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

100942688 is a wasteful number, since it uses less digits than its factorization.

100942688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 100942688 is about 10047.0238379333. The cubic root of 100942688 is about 465.6128474705.

The spelling of 100942688 in words is "one hundred million, nine hundred forty-two thousand, six hundred eighty-eight".