105773093577449 has 2 divisors, whose sum is σ = 105773093577450. Its totient is φ = 105773093577448.

The previous prime is 105773093577377. The next prime is 105773093577497. The reversal of 105773093577449 is 944775390377501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69979197737449 + 35793895840000 = 8365357^2 + 5982800^2 .

It is a cyclic number.

It is not a de Polignac number, because 105773093577449 - 2³⁶ = 105704374100713 is a prime.

It is a super-2 number, since 2×105773093577449² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105773093577649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52886546788724 + 52886546788725.

It is an arithmetic number, because the mean of its divisors is an integer number (52886546788725).

Almost surely, 2^{105773093577449} is an apocalyptic number.

It is an amenable number.

105773093577449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105773093577449 is an equidigital number, since it uses as much as digits as its factorization.

105773093577449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 700131600, while the sum is 71.

The spelling of 105773093577449 in words is "one hundred five trillion, seven hundred seventy-three billion, ninety-three million, five hundred seventy-seven thousand, four hundred forty-nine".