105577762210816 has 165 divisors, whose sum is σ = 246250752669861. Its totient is φ = 45240707506176.

The previous prime is 105577762210793. The next prime is 105577762210873. The reversal of 105577762210816 is 618012267775501.

The square root of 105577762210816 is 10275104.

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., 35783366886400 + 69794395324416 = 5981920^2 + 8354304^2 .

It is a super-2 number, since 2×105577762210816² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16111359796 + ... + 16111366348.

Almost surely, 2^{105577762210816} is an apocalyptic number.

105577762210816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105577762210816 is the 10275104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105577762210816

105577762210816 is an abundant number, since it is smaller than the sum of its proper divisors (140672990459045).

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

105577762210816 is an frugal number, since it uses more digits than its factorization.

105577762210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 58.

The spelling of 105577762210816 in words is "one hundred five trillion, five hundred seventy-seven billion, seven hundred sixty-two million, two hundred ten thousand, eight hundred sixteen".