102455309124441 has 405 divisors, whose sum is σ = 205076691304749. Its totient is φ = 50793435044352.

The previous prime is 102455309124431. The next prime is 102455309124449. The reversal of 102455309124441 is 144421903554201.

The square root of 102455309124441 is 10122021.

It is a perfect power (a square), and thus also a powerful number.

102455309124441 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 530 + 91 + 24 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 925099636041 + 101530209488400 = 961821^2 + 10076220^2 .

It is not a de Polignac number, because 102455309124441 - 2²³ = 102455300735833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102455309124449) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 140928898020 + ... + 140928898746.

Almost surely, 2^{102455309124441} is an apocalyptic number.

102455309124441 is the 10122021-st square number.

102455309124441 is the 5061011-st centered octagonal number.

It is an amenable number.

102455309124441 is an abundant number, since it is smaller than the sum of its proper divisors (102621382180308).

102455309124441 is an frugal number, since it uses more digits than its factorization.

102455309124441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 102455309124441 in words is "one hundred two trillion, four hundred fifty-five billion, three hundred nine million, one hundred twenty-four thousand, four hundred forty-one".