105016236744 has 64 divisors (see below), whose sum is σ = 267268896000. Its totient is φ = 34376210240.

The previous prime is 105016236719. The next prime is 105016236761. The reversal of 105016236744 is 447632610501.

It is a happy number.

It is a super-2 number, since 2×105016236744² (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, 1336747 + ... + 1413125.

It is an arithmetic number, because the mean of its divisors is an integer number (4176076500).

Almost surely, 2^105016236744 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 105016236744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133634448000).

105016236744 is an abundant number, since it is smaller than the sum of its proper divisors (162252659256).

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

105016236744 is a wasteful number, since it uses less digits than its factorization.

105016236744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77418 (or 77414 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 105016236744 in words is "one hundred five billion, sixteen million, two hundred thirty-six thousand, seven hundred forty-four".