101160020 has 54 divisors (see below), whose sum is σ = 231371658. Its totient is φ = 37135488.

The previous prime is 101160011. The next prime is 101160023. The reversal of 101160020 is 20061101.

It can be written as a sum of positive squares in 9 ways, for example, as 13512976 + 87647044 = 3676^2 + 9362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101159983 and 101160010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101160023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 584654 + ... + 584826.

Almost surely, 2^101160020 is an apocalyptic number.

101160020 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 101160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115685829).

101160020 is an abundant number, since it is smaller than the sum of its proper divisors (130211638).

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

101160020 is a wasteful number, since it uses less digits than its factorization.

101160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101160020 is about 10057.8337627941. The cubic root of 101160020 is about 465.9467664390.

The spelling of 101160020 in words is "one hundred one million, one hundred sixty thousand, twenty".