102073167 has 12 divisors (see below), whose sum is σ = 168501840. Its totient is φ = 58327488.

The previous prime is 102073157. The next prime is 102073229. The reversal of 102073167 is 761370201.

It is not a de Polignac number, because 102073167 - 2⁷ = 102073039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102073167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102073157) 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 11 ways as a sum of consecutive naturals, for example, 810042 + ... + 810167.

It is an arithmetic number, because the mean of its divisors is an integer number (14041820).

Almost surely, 2^102073167 is an apocalyptic number.

102073167 is a deficient number, since it is larger than the sum of its proper divisors (66428673).

102073167 is a wasteful number, since it uses less digits than its factorization.

102073167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620222 (or 1620219 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 102073167 is about 10103.1265952674. The cubic root of 102073167 is about 467.3445651777.

The spelling of 102073167 in words is "one hundred two million, seventy-three thousand, one hundred sixty-seven".