105606706060 has 96 divisors (see below), whose sum is σ = 237960918720. Its totient is φ = 39229145088.

The previous prime is 105606706039. The next prime is 105606706061. The reversal of 105606706060 is 60607606501.

It is a happy number.

105606706060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105606706060² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105606706061) 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, 8715286 + ... + 8727394.

It is an arithmetic number, because the mean of its divisors is an integer number (2478759570).

Almost surely, 2^105606706060 is an apocalyptic number.

105606706060 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 105606706060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118980459360).

105606706060 is an abundant number, since it is smaller than the sum of its proper divisors (132354212660).

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

105606706060 is a wasteful number, since it uses less digits than its factorization.

105606706060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 105606706060 in words is "one hundred five billion, six hundred six million, seven hundred six thousand, sixty".