105513934372 has 96 divisors (see below), whose sum is σ = 246714531840. Its totient is φ = 38259112320.

The previous prime is 105513934333. The next prime is 105513934453. The reversal of 105513934372 is 273439315501.

It is a super-2 number, since 2×105513934372² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 60829 + ... + 463387.

It is an arithmetic number, because the mean of its divisors is an integer number (2569943040).

Almost surely, 2^105513934372 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 105513934372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123357265920).

105513934372 is an abundant number, since it is smaller than the sum of its proper divisors (141200597468).

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

105513934372 is a wasteful number, since it uses less digits than its factorization.

105513934372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402641 (or 402639 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 105513934372 in words is "one hundred five billion, five hundred thirteen million, nine hundred thirty-four thousand, three hundred seventy-two".