100886016 has 160 divisors (see below), whose sum is σ = 335478528. Its totient is φ = 26173440.

The previous prime is 100886003. The next prime is 100886069. The reversal of 100886016 is 610688001.

It is a hoax number, since the sum of its digits (30) 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, 117846 + ... + 118698.

Almost surely, 2^100886016 is an apocalyptic number.

100886016 is a gapful number since it is divisible by the number (16) 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 100886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167739264).

100886016 is an abundant number, since it is smaller than the sum of its proper divisors (234592512).

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

100886016 is an equidigital number, since it uses as much as digits as its factorization.

100886016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 100886016 is about 10044.2031042786. The cubic root of 100886016 is about 465.5256952077.

The spelling of 100886016 in words is "one hundred million, eight hundred eighty-six thousand, sixteen".