100986864 has 80 divisors (see below), whose sum is σ = 286362624. Its totient is φ = 30412800.

The previous prime is 100986841. The next prime is 100986869. The reversal of 100986864 is 468689001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100986869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101409 + ... + 102399.

Almost surely, 2^100986864 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 100986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143181312).

100986864 is an abundant number, since it is smaller than the sum of its proper divisors (185375760).

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

100986864 is a wasteful number, since it uses less digits than its factorization.

100986864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 100986864 is about 10049.2220594432. Note that the first 3 decimals coincide. The cubic root of 100986864 is about 465.6807603087.

The spelling of 100986864 in words is "one hundred million, nine hundred eighty-six thousand, eight hundred sixty-four".