105253622333677 has 2 divisors, whose sum is σ = 105253622333678. Its totient is φ = 105253622333676.

The previous prime is 105253622333641. The next prime is 105253622333681. The reversal of 105253622333677 is 776333226352501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103141675145161 + 2111947188516 = 10155869^2 + 1453254^2 .

It is a cyclic number.

It is not a de Polignac number, because 105253622333677 - 2²⁷ = 105253488115949 is a prime.

It is a super-2 number, since 2×105253622333677² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105253622333617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52626811166838 + 52626811166839.

It is an arithmetic number, because the mean of its divisors is an integer number (52626811166839).

Almost surely, 2^{105253622333677} is an apocalyptic number.

It is an amenable number.

105253622333677 is a deficient number, since it is larger than the sum of its proper divisors (1).

105253622333677 is an equidigital number, since it uses as much as digits as its factorization.

105253622333677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28576800, while the sum is 55.

The spelling of 105253622333677 in words is "one hundred five trillion, two hundred fifty-three billion, six hundred twenty-two million, three hundred thirty-three thousand, six hundred seventy-seven".