101660020 has 96 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 31440000.

The previous prime is 101659973. The next prime is 101660021. The reversal of 101660020 is 20066101.

It is a junction number, because it is equal to n+sod(n) for n = 101659976 and 101660003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101660021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386409 + ... + 386671.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2^101660020 is an apocalyptic number.

101660020 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 101660020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

101660020 is an abundant number, since it is smaller than the sum of its proper divisors (166580876).

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

101660020 is a wasteful number, since it uses less digits than its factorization.

101660020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101660020 is about 10082.6593714159. The cubic root of 101660020 is about 466.7131779039.

The spelling of 101660020 in words is "one hundred one million, six hundred sixty thousand, twenty".