102811641057 has 12 divisors (see below), whose sum is σ = 156321793680. Its totient is φ = 64933667928.

The previous prime is 102811641011. The next prime is 102811641059. The reversal of 102811641057 is 750146118201.

102811641057 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 1 + 1 + 641 + 0 + 5 + 7 = 666.

It is not a de Polignac number, because 102811641057 - 2⁸ = 102811640801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102811641059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300618663 + ... + 300619004.

It is an arithmetic number, because the mean of its divisors is an integer number (13026816140).

Almost surely, 2^102811641057 is an apocalyptic number.

It is an amenable number.

102811641057 is a deficient number, since it is larger than the sum of its proper divisors (53510152623).

102811641057 is a wasteful number, since it uses less digits than its factorization.

102811641057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601237692 (or 601237689 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 102811641057 its reverse (750146118201), we get a palindrome (852957759258).

The spelling of 102811641057 in words is "one hundred two billion, eight hundred eleven million, six hundred forty-one thousand, fifty-seven".