102172005 has 24 divisors (see below), whose sum is σ = 190722168. Its totient is φ = 50299776.

The previous prime is 102171991. The next prime is 102172039. The reversal of 102172005 is 500271201.

It can be written as a sum of positive squares in 4 ways, for example, as 6640929 + 95531076 = 2577^2 + 9774^2 .

It is not a de Polignac number, because 102172005 - 2⁶ = 102171941 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86742 + ... + 87911.

It is an arithmetic number, because the mean of its divisors is an integer number (7946757).

Almost surely, 2^102172005 is an apocalyptic number.

102172005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102172005 is a deficient number, since it is larger than the sum of its proper divisors (88550163).

102172005 is a wasteful number, since it uses less digits than its factorization.

102172005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174677 (or 174674 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 102172005 is about 10108.0168678134. The cubic root of 102172005 is about 467.4953606067.

The spelling of 102172005 in words is "one hundred two million, one hundred seventy-two thousand, five".