109745775841 has 27 divisors (see below), whose sum is σ = 126323034681. Its totient is φ = 95281140864.

The previous prime is 109745775823. The next prime is 109745775851. The reversal of 109745775841 is 148577547901.

It is a happy number.

The square root of 109745775841 is 331279.

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 990927441 + 108754848400 = 31479^2 + 329780^2 .

It is not a de Polignac number, because 109745775841 - 2¹⁵ = 109745743073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109745775851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73211910 + ... + 73213408.

Almost surely, 2^109745775841 is an apocalyptic number.

109745775841 is the 331279-th square number.

109745775841 is the 165640-th centered octagonal number.

It is an amenable number.

109745775841 is a deficient number, since it is larger than the sum of its proper divisors (16577258840).

109745775841 is an frugal number, since it uses more digits than its factorization.

109745775841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 1529 counting only the distinct ones).

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

The spelling of 109745775841 in words is "one hundred nine billion, seven hundred forty-five million, seven hundred seventy-five thousand, eight hundred forty-one".