102960857 has 18 divisors (see below), whose sum is σ = 115038378. Its totient is φ = 91824832.

The previous prime is 102960853. The next prime is 102960859. The reversal of 102960857 is 758069201.

It can be written as a sum of positive squares in only one way, i.e., 96904336 + 6056521 = 9844^2 + 2461^2 .

It is not a de Polignac number, because 102960857 - 2² = 102960853 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102960857.

It is not an unprimeable number, because it can be changed into a prime (102960853) 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 17 ways as a sum of consecutive naturals, for example, 962198 + ... + 962304.

It is an arithmetic number, because the mean of its divisors is an integer number (6391021).

Almost surely, 2^102960857 is an apocalyptic number.

102960857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102960857 is a deficient number, since it is larger than the sum of its proper divisors (12077521).

102960857 is an equidigital number, since it uses as much as digits as its factorization.

102960857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 102960857 is about 10146.9629446451. The cubic root of 102960857 is about 468.6954270808.

The spelling of 102960857 in words is "one hundred two million, nine hundred sixty thousand, eight hundred fifty-seven".