101666808 has 144 divisors (see below), whose sum is σ = 301644720. Its totient is φ = 30868992.

The previous prime is 101666801. The next prime is 101666821. The reversal of 101666808 is 808666101.

It is a super-2 number, since 2×101666808² = 20672279697817728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392660 + ... + 1392732.

It is an arithmetic number, because the mean of its divisors is an integer number (2094755).

Almost surely, 2^101666808 is an apocalyptic number.

101666808 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 101666808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822360).

101666808 is an abundant number, since it is smaller than the sum of its proper divisors (199977912).

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

101666808 is a wasteful number, since it uses less digits than its factorization.

101666808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 101666808 is about 10082.9959833375. The cubic root of 101666808 is about 466.7235653979.

The spelling of 101666808 in words is "one hundred one million, six hundred sixty-six thousand, eight hundred eight".