101886840 has 144 divisors (see below), whose sum is σ = 364127400. Its totient is φ = 24689280.

The previous prime is 101886839. The next prime is 101886857. The reversal of 101886840 is 48688101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101886795 and 101886804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42391 + ... + 44729.

Almost surely, 2^101886840 is an apocalyptic number.

101886840 is a gapful number since it is divisible by the number (10) 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 101886840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182063700).

101886840 is an abundant number, since it is smaller than the sum of its proper divisors (262240560).

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

101886840 is a wasteful number, since it uses less digits than its factorization.

101886840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 101886840 is about 10093.9011288996. The cubic root of 101886840 is about 467.0600243511.

The spelling of 101886840 in words is "one hundred one million, eight hundred eighty-six thousand, eight hundred forty".