102643871 has 32 divisors (see below), whose sum is σ = 124692480. Its totient is φ = 83397600.

The previous prime is 102643861. The next prime is 102643873. The reversal of 102643871 is 178346201.

It is not a de Polignac number, because 102643871 - 2²⁶ = 35535007 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102643873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629636 + ... + 629798.

It is an arithmetic number, because the mean of its divisors is an integer number (3896640).

Almost surely, 2^102643871 is an apocalyptic number.

102643871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102643871 is a deficient number, since it is larger than the sum of its proper divisors (22048609).

102643871 is a wasteful number, since it uses less digits than its factorization.

102643871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 102643871 is about 10131.3311563683. The cubic root of 102643871 is about 468.2139411328.

The spelling of 102643871 in words is "one hundred two million, six hundred forty-three thousand, eight hundred seventy-one".