105769269872 has 60 divisors (see below), whose sum is σ = 239073191640. Its totient is φ = 45198937728.

The previous prime is 105769269847. The next prime is 105769269911. The reversal of 105769269872 is 278962967501.

It is a super-2 number, since 2×105769269872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77654 + ... + 466442.

It is an arithmetic number, because the mean of its divisors is an integer number (3984553194).

Almost surely, 2^105769269872 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 105769269872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119536595820).

105769269872 is an abundant number, since it is smaller than the sum of its proper divisors (133303921768).

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

105769269872 is a wasteful number, since it uses less digits than its factorization.

105769269872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389158 (or 389145 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 62.

The spelling of 105769269872 in words is "one hundred five billion, seven hundred sixty-nine million, two hundred sixty-nine thousand, eight hundred seventy-two".