102166825207 has 16 divisors (see below), whose sum is σ = 104959308960. Its totient is φ = 99413308800.

The previous prime is 102166825169. The next prime is 102166825247. The reversal of 102166825207 is 702528661201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102166825207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102166825207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102166825247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4330032 + ... + 4353562.

It is an arithmetic number, because the mean of its divisors is an integer number (6559956810).

Almost surely, 2^102166825207 is an apocalyptic number.

102166825207 is a deficient number, since it is larger than the sum of its proper divisors (2792483753).

102166825207 is a wasteful number, since it uses less digits than its factorization.

102166825207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 102166825207 in words is "one hundred two billion, one hundred sixty-six million, eight hundred twenty-five thousand, two hundred seven".