102167591643 has 12 divisors (see below), whose sum is σ = 158927364960. Its totient is φ = 62872364016.

The previous prime is 102167591641. The next prime is 102167591671. The reversal of 102167591643 is 346195761201.

102167591643 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 7 + 591 + 6 + 43 = 666.

It is not a de Polignac number, because 102167591643 - 2¹ = 102167591641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102167591641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436613523 + ... + 436613756.

It is an arithmetic number, because the mean of its divisors is an integer number (13243947080).

Almost surely, 2^102167591643 is an apocalyptic number.

102167591643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102167591643 is a deficient number, since it is larger than the sum of its proper divisors (56759773317).

102167591643 is a wasteful number, since it uses less digits than its factorization.

102167591643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873227298 (or 873227295 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102167591643 in words is "one hundred two billion, one hundred sixty-seven million, five hundred ninety-one thousand, six hundred forty-three".