105718620736 has 63 divisors (see below), whose sum is σ = 212477523609. Its totient is φ = 52189513728.

The previous prime is 105718620701. The next prime is 105718620737. The reversal of 105718620736 is 637026817501.

The square root of 105718620736 is 325144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47471694400 + 58246926336 = 217880^2 + 241344^2 .

It is a super-2 number, since 2×105718620736² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105718620737) 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 8 ways as a sum of consecutive naturals, for example, 252311535 + ... + 252311953.

Almost surely, 2^105718620736 is an apocalyptic number.

105718620736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105718620736 is the 325144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105718620736

105718620736 is an abundant number, since it is smaller than the sum of its proper divisors (106758902873).

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

105718620736 is an frugal number, since it uses more digits than its factorization.

105718620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 105718620736 in words is "one hundred five billion, seven hundred eighteen million, six hundred twenty thousand, seven hundred thirty-six".