102117873 has 16 divisors (see below), whose sum is σ = 159961536. Its totient is φ = 57128640.

The previous prime is 102117857. The next prime is 102117923. The reversal of 102117873 is 378711201.

It is not a de Polignac number, because 102117873 - 2⁴ = 102117857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102117873.

It is not an unprimeable number, because it can be changed into a prime (102117823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118590 + ... + 119447.

It is an arithmetic number, because the mean of its divisors is an integer number (9997596).

Almost surely, 2^102117873 is an apocalyptic number.

102117873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102117873 is a deficient number, since it is larger than the sum of its proper divisors (57843663).

102117873 is a wasteful number, since it uses less digits than its factorization.

102117873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238064.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 102117873 is about 10105.3388364765. The cubic root of 102117873 is about 467.4127844014.

The spelling of 102117873 in words is "one hundred two million, one hundred seventeen thousand, eight hundred seventy-three".