105611110009992 has 24 divisors (see below), whose sum is σ = 286030089610590. Its totient is φ = 35203703336640.

The previous prime is 105611110009969. The next prime is 105611110010033. The reversal of 105611110009992 is 299900011116501.

It is a happy number.

105611110009992 is a `hidden beast` number, since 10 + 5 + 611 + 1 + 10 + 0 + 0 + 9 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90216677076516 + 15394432933476 = 9498246^2 + 3923574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105611110009992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733410486109 + ... + 733410486252.

Almost surely, 2^{105611110009992} is an apocalyptic number.

105611110009992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105611110009992 is an abundant number, since it is smaller than the sum of its proper divisors (180418979600598).

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

105611110009992 is a wasteful number, since it uses less digits than its factorization.

105611110009992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466820972373 (or 1466820972366 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 45.

The spelling of 105611110009992 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, nine thousand, nine hundred ninety-two".