102853314 has 40 divisors (see below), whose sum is σ = 238425660. Its totient is φ = 33100704.

The previous prime is 102853313. The next prime is 102853321. The reversal of 102853314 is 413358201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100701225 + 2152089 = 10035^2 + 1467^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102853313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6249 + ... + 15644.

Almost surely, 2^102853314 is an apocalyptic number.

102853314 is an abundant number, since it is smaller than the sum of its proper divisors (135572346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102853314 is a wasteful number, since it uses less digits than its factorization.

102853314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21936 (or 21927 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102853314 is about 10141.6622897827. The cubic root of 102853314 is about 468.5321855236.

The spelling of 102853314 in words is "one hundred two million, eight hundred fifty-three thousand, three hundred fourteen".