101106020 has 24 divisors (see below), whose sum is σ = 212566200. Its totient is φ = 40396032.

The previous prime is 101106013. The next prime is 101106023. The reversal of 101106020 is 20601101.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 101082916 = 152^2 + 10054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101105992 and 101106010.

It is not an unprimeable number, because it can be changed into a prime (101106023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19016 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (8856925).

Almost surely, 2^101106020 is an apocalyptic number.

101106020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101106020 is an abundant number, since it is smaller than the sum of its proper divisors (111460180).

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

101106020 is a wasteful number, since it uses less digits than its factorization.

101106020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

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

The square root of 101106020 is about 10055.1489297772. The cubic root of 101106020 is about 465.8638430213.

Adding to 101106020 its reverse (20601101), we get a palindrome (121707121).

The spelling of 101106020 in words is "one hundred one million, one hundred six thousand, twenty".