105566542095364 has 81 divisors (see below), whose sum is σ = 216925214101407. Its totient is φ = 44821074247488.

The previous prime is 105566542095359. The next prime is 105566542095389. The reversal of 105566542095364 is 463590245665501.

The square root of 105566542095364 is 10274558.

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

It can be written as a sum of positive squares in 4 ways, for example, as 66286139056900 + 39280403038464 = 8141630^2 + 6267408^2 .

It is a super-2 number, since 2×105566542095364² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15678972142 + ... + 15678978874.

Almost surely, 2^{105566542095364} is an apocalyptic number.

105566542095364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105566542095364 is the 10274558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105566542095364

105566542095364 is an abundant number, since it is smaller than the sum of its proper divisors (111358672006043).

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

105566542095364 is an frugal number, since it uses more digits than its factorization.

105566542095364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 61.

The spelling of 105566542095364 in words is "one hundred five trillion, five hundred sixty-six billion, five hundred forty-two million, ninety-five thousand, three hundred sixty-four".