105992062112888 has 128 divisors (see below), whose sum is σ = 232392067891200. Its totient is φ = 44381447240064.

The previous prime is 105992062112879. The next prime is 105992062112977. The reversal of 105992062112888 is 888211260299501.

It is a super-2 number, since 2×105992062112888² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105992062112888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7441687895 + ... + 7441702137.

It is an arithmetic number, because the mean of its divisors is an integer number (1815563030400).

Almost surely, 2^{105992062112888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105992062112888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116196033945600).

105992062112888 is an abundant number, since it is smaller than the sum of its proper divisors (126400005778312).

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

105992062112888 is a wasteful number, since it uses less digits than its factorization.

105992062112888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27969 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 62.

The spelling of 105992062112888 in words is "one hundred five trillion, nine hundred ninety-two billion, sixty-two million, one hundred twelve thousand, eight hundred eighty-eight".