106561124264 has 16 divisors (see below), whose sum is σ = 228345266400. Its totient is φ = 45669053232.

The previous prime is 106561124213. The next prime is 106561124279. The reversal of 106561124264 is 462421165601.

It is a happy number.

106561124264 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 2×106561124264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 951438554 + ... + 951438665.

It is an arithmetic number, because the mean of its divisors is an integer number (14271579150).

Almost surely, 2^106561124264 is an apocalyptic number.

106561124264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106561124264 is an abundant number, since it is smaller than the sum of its proper divisors (121784142136).

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

106561124264 is a wasteful number, since it uses less digits than its factorization.

106561124264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902877232 (or 1902877228 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

Adding to 106561124264 its reverse (462421165601), we get a palindrome (568982289865).

The spelling of 106561124264 in words is "one hundred six billion, five hundred sixty-one million, one hundred twenty-four thousand, two hundred sixty-four".