106561044126 has 40 divisors (see below), whose sum is σ = 243856023840. Its totient is φ = 34764593472.

The previous prime is 106561044113. The next prime is 106561044151. The reversal of 106561044126 is 621440165601.

106561044126 is a `hidden beast` number, since 10 + 6 + 5 + 610 + 4 + 4 + 1 + 26 = 666.

It is a super-2 number, since 2×106561044126² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6990091 + ... + 7005318.

It is an arithmetic number, because the mean of its divisors is an integer number (6096400596).

Almost surely, 2^106561044126 is an apocalyptic number.

106561044126 is an abundant number, since it is smaller than the sum of its proper divisors (137294979714).

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

106561044126 is a wasteful number, since it uses less digits than its factorization.

106561044126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995470 (or 13995461 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106561044126 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, one hundred twenty-six".