102002079 has 32 divisors (see below), whose sum is σ = 147308544. Its totient is φ = 62622560.

The previous prime is 102002071. The next prime is 102002107. The reversal of 102002079 is 970200201.

It is a happy number.

It is not a de Polignac number, because 102002079 - 2³ = 102002071 is a prime.

102002079 is a modest number, since divided by 2079 gives 102 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002071) 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, 230032 + ... + 230474.

It is an arithmetic number, because the mean of its divisors is an integer number (4603392).

Almost surely, 2^102002079 is an apocalyptic number.

102002079 is a deficient number, since it is larger than the sum of its proper divisors (45306465).

102002079 is a wasteful number, since it uses less digits than its factorization.

102002079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 102002079 is about 10099.6078636747. The cubic root of 102002079 is about 467.2360472491.

The spelling of 102002079 in words is "one hundred two million, two thousand, seventy-nine".