105763495369 has 15 divisors (see below), whose sum is σ = 123401996007. Its totient is φ = 90640765656.

The previous prime is 105763495319. The next prime is 105763495391. The reversal of 105763495369 is 963594367501.

It is a happy number.

The square root of 105763495369 is 325213.

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., 1555908025 + 104207587344 = 39445^2 + 322812^2 .

It is not a de Polignac number, because 105763495369 - 2¹³ = 105763487177 is a prime.

It is a super-2 number, since 2×105763495369² (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 (105763495319) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15932119 + ... + 15938755.

Almost surely, 2^105763495369 is an apocalyptic number.

105763495369 is the 325213-rd square number.

105763495369 is the 162607-th centered octagonal number.

It is an amenable number.

105763495369 is a deficient number, since it is larger than the sum of its proper divisors (17638500638).

105763495369 is an frugal number, since it uses more digits than its factorization.

105763495369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 58.

The spelling of 105763495369 in words is "one hundred five billion, seven hundred sixty-three million, four hundred ninety-five thousand, three hundred sixty-nine".