105774144097 has 2 divisors, whose sum is σ = 105774144098. Its totient is φ = 105774144096.

The previous prime is 105774144089. The next prime is 105774144101. The reversal of 105774144097 is 790441477501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71845977681 + 33928166416 = 268041^2 + 184196^2 .

It is a cyclic number.

It is not a de Polignac number, because 105774144097 - 2³ = 105774144089 is a prime.

It is a super-2 number, since 2×105774144097² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105774144097.

It is not a weakly prime, because it can be changed into another prime (105774144037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52887072048 + 52887072049.

It is an arithmetic number, because the mean of its divisors is an integer number (52887072049).

Almost surely, 2^105774144097 is an apocalyptic number.

It is an amenable number.

105774144097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105774144097 is an equidigital number, since it uses as much as digits as its factorization.

105774144097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 105774144097 in words is "one hundred five billion, seven hundred seventy-four million, one hundred forty-four thousand, ninety-seven".