105713302788 has 72 divisors (see below), whose sum is σ = 279504388800. Its totient is φ = 33625137216.

The previous prime is 105713302781. The next prime is 105713302801. The reversal of 105713302788 is 887203317501.

105713302788 is a `hidden beast` number, since 1 + 0 + 571 + 3 + 3 + 0 + 2 + 78 + 8 = 666.

It is a super-2 number, since 2×105713302788² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105713302781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194578 + ... + 499286.

It is an arithmetic number, because the mean of its divisors is an integer number (3882005400).

Almost surely, 2^105713302788 is an apocalyptic number.

105713302788 is a gapful number since it is divisible by the number (18) 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 105713302788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139752194400).

105713302788 is an abundant number, since it is smaller than the sum of its proper divisors (173791086012).

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

105713302788 is a wasteful number, since it uses less digits than its factorization.

105713302788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305161 (or 305156 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 105713302788 in words is "one hundred five billion, seven hundred thirteen million, three hundred two thousand, seven hundred eighty-eight".