101561020 has 48 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 36710720.

The previous prime is 101560999. The next prime is 101561029. The reversal of 101561020 is 20165101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101560985 and 101561003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101561029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38091 + ... + 40669.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^101561020 is an apocalyptic number.

101561020 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 101561020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

101561020 is an abundant number, since it is smaller than the sum of its proper divisors (132496580).

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

101561020 is a wasteful number, since it uses less digits than its factorization.

101561020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 101561020 is about 10077.7487565428. The cubic root of 101561020 is about 466.5616282869.

The spelling of 101561020 in words is "one hundred one million, five hundred sixty-one thousand, twenty".