101686420 has 48 divisors (see below), whose sum is σ = 234573696. Its totient is φ = 36720000.

The previous prime is 101686411. The next prime is 101686421. The reversal of 101686420 is 24686101.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101686421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31690 + ... + 34750.

It is an arithmetic number, because the mean of its divisors is an integer number (4886952).

Almost surely, 2^101686420 is an apocalyptic number.

101686420 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 101686420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117286848).

101686420 is an abundant number, since it is smaller than the sum of its proper divisors (132887276).

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

101686420 is a wasteful number, since it uses less digits than its factorization.

101686420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 101686420 is about 10083.9684648456. The cubic root of 101686420 is about 466.7535745170.

The spelling of 101686420 in words is "one hundred one million, six hundred eighty-six thousand, four hundred twenty".