105992496512 has 128 divisors (see below), whose sum is σ = 268966656000. Its totient is φ = 40502992896.

The previous prime is 105992496437. The next prime is 105992496523. The reversal of 105992496512 is 215694299501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105992496512² (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 15 ways as a sum of consecutive naturals, for example, 106289 + ... + 472527.

It is an arithmetic number, because the mean of its divisors is an integer number (2101302000).

Almost surely, 2^105992496512 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 105992496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134483328000).

105992496512 is an abundant number, since it is smaller than the sum of its proper divisors (162974159488).

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

105992496512 is a wasteful number, since it uses less digits than its factorization.

105992496512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366296 (or 366284 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 53.

The spelling of 105992496512 in words is "one hundred five billion, nine hundred ninety-two million, four hundred ninety-six thousand, five hundred twelve".