105261931392 has 128 divisors (see below), whose sum is σ = 281840133120. Its totient is φ = 34807449600.

The previous prime is 105261931391. The next prime is 105261931409. The reversal of 105261931392 is 293139162501.

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

It is a super-2 number, since 2×105261931392² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261931391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32178717 + ... + 32181987.

It is an arithmetic number, because the mean of its divisors is an integer number (2201876040).

Almost surely, 2^105261931392 is an apocalyptic number.

105261931392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105261931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140920066560).

105261931392 is an abundant number, since it is smaller than the sum of its proper divisors (176578201728).

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

105261931392 is a wasteful number, since it uses less digits than its factorization.

105261931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 105261931392 in words is "one hundred five billion, two hundred sixty-one million, nine hundred thirty-one thousand, three hundred ninety-two".