105736315244 has 48 divisors (see below), whose sum is σ = 219414511680. Its totient is φ = 43623014400.

The previous prime is 105736315229. The next prime is 105736315303. The reversal of 105736315244 is 442513637501.

It is a super-2 number, since 2×105736315244² (a number of 23 digits) contains 22 as substring.

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, 80444 + ... + 466844.

It is an arithmetic number, because the mean of its divisors is an integer number (4571135660).

Almost surely, 2^105736315244 is an apocalyptic number.

105736315244 is a gapful number since it is divisible by the number (14) 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 105736315244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109707255840).

105736315244 is an abundant number, since it is smaller than the sum of its proper divisors (113678196436).

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

105736315244 is a wasteful number, since it uses less digits than its factorization.

105736315244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386778 (or 386776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 105736315244 in words is "one hundred five billion, seven hundred thirty-six million, three hundred fifteen thousand, two hundred forty-four".