106111611560 has 32 divisors (see below), whose sum is σ = 242021696040. Its totient is φ = 41863209984.

The previous prime is 106111611547. The next prime is 106111611601. The reversal of 106111611560 is 65116111601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105889064836 + 222546724 = 325406^2 + 14918^2 .

It is a super-2 number, since 2×106111611560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18166877 + ... + 18172716.

Almost surely, 2^106111611560 is an apocalyptic number.

106111611560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106111611560 is an abundant number, since it is smaller than the sum of its proper divisors (135910084480).

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

106111611560 is a wasteful number, since it uses less digits than its factorization.

106111611560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36339677 (or 36339673 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 106111611560 in words is "one hundred six billion, one hundred eleven million, six hundred eleven thousand, five hundred sixty".