102505103666331 has 16 divisors (see below), whose sum is σ = 143187999095808. Its totient is φ = 65145275316000.

The previous prime is 102505103666323. The next prime is 102505103666389. The reversal of 102505103666331 is 133666301505201.

It is a happy number.

It is not a de Polignac number, because 102505103666331 - 2³ = 102505103666323 is a prime.

It is a super-2 number, since 2×102505103666331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102505103666311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8225407320 + ... + 8225419781.

It is an arithmetic number, because the mean of its divisors is an integer number (8949249943488).

Almost surely, 2^{102505103666331} is an apocalyptic number.

102505103666331 is a deficient number, since it is larger than the sum of its proper divisors (40682895429477).

102505103666331 is a wasteful number, since it uses less digits than its factorization.

102505103666331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16450827202.

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 102505103666331 in words is "one hundred two trillion, five hundred five billion, one hundred three million, six hundred sixty-six thousand, three hundred thirty-one".