102072157 has 8 divisors (see below), whose sum is σ = 111748320. Its totient is φ = 92462160.

The previous prime is 102072149. The next prime is 102072163. The reversal of 102072157 is 751270201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102072157 - 2³ = 102072149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102072107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13282 + ... + 19507.

It is an arithmetic number, because the mean of its divisors is an integer number (13968540).

Almost surely, 2^102072157 is an apocalyptic number.

It is an amenable number.

102072157 is a deficient number, since it is larger than the sum of its proper divisors (9676163).

102072157 is a wasteful number, since it uses less digits than its factorization.

102072157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33083.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 102072157 is about 10103.0766106172. The cubic root of 102072157 is about 467.3430237358.

The spelling of 102072157 in words is "one hundred two million, seventy-two thousand, one hundred fifty-seven".