102102957 has 32 divisors (see below), whose sum is σ = 172200960. Its totient is φ = 59186160.

The previous prime is 102102947. The next prime is 102102977. The reversal of 102102957 is 759201201.

It is not a de Polignac number, because 102102957 - 2⁶ = 102102893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102102957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102907) 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 31 ways as a sum of consecutive naturals, for example, 643 + ... + 14304.

It is an arithmetic number, because the mean of its divisors is an integer number (5381280).

Almost surely, 2^102102957 is an apocalyptic number.

It is an amenable number.

102102957 is a deficient number, since it is larger than the sum of its proper divisors (70098003).

102102957 is a wasteful number, since it uses less digits than its factorization.

102102957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14990 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 102102957 is about 10104.6007838014. The cubic root of 102102957 is about 467.3900255105.

The spelling of 102102957 in words is "one hundred two million, one hundred two thousand, nine hundred fifty-seven".