102056643 has 24 divisors (see below), whose sum is σ = 159938688. Its totient is φ = 62335872.

The previous prime is 102056629. The next prime is 102056653. The reversal of 102056643 is 346650201.

102056643 is a `hidden beast` number, since 10 + 2 + 0 + 5 + 6 + 643 = 666.

It is not a de Polignac number, because 102056643 - 2⁶ = 102056579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102056653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846 + ... + 19212.

It is an arithmetic number, because the mean of its divisors is an integer number (6664112).

Almost surely, 2^102056643 is an apocalyptic number.

102056643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102056643 is a deficient number, since it is larger than the sum of its proper divisors (57882045).

102056643 is a wasteful number, since it uses less digits than its factorization.

102056643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 102056643 is about 10102.3087955180. The cubic root of 102056643 is about 467.3193453001.

The spelling of 102056643 in words is "one hundred two million, fifty-six thousand, six hundred forty-three".