101666620 has 72 divisors (see below), whose sum is σ = 240376752. Its totient is φ = 36072960.

The previous prime is 101666603. The next prime is 101666623. The reversal of 101666620 is 26666101.

It is a super-2 number, since 2×101666620² = 20672203244448800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103572 + ... + 104548.

It is an arithmetic number, because the mean of its divisors is an integer number (3338566).

Almost surely, 2^101666620 is an apocalyptic number.

101666620 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 101666620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120188376).

101666620 is an abundant number, since it is smaller than the sum of its proper divisors (138710132).

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

101666620 is a wasteful number, since it uses less digits than its factorization.

101666620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 101666620 is about 10082.9866607072. The cubic root of 101666620 is about 466.7232777128.

The spelling of 101666620 in words is "one hundred one million, six hundred sixty-six thousand, six hundred twenty".