102034313 has 16 divisors (see below), whose sum is σ = 111513600. Its totient is φ = 93033360.

The previous prime is 102034291. The next prime is 102034327. The reversal of 102034313 is 313430201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102034313 - 2⁶ = 102034249 is a prime.

It is a super-2 number, since 2×102034313² = 20822002058763938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102034291 and 102034300.

It is not an unprimeable number, because it can be changed into a prime (102034393) 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 15 ways as a sum of consecutive naturals, for example, 57128 + ... + 58886.

It is an arithmetic number, because the mean of its divisors is an integer number (6969600).

Almost surely, 2^102034313 is an apocalyptic number.

It is an amenable number.

102034313 is a deficient number, since it is larger than the sum of its proper divisors (9479287).

102034313 is a wasteful number, since it uses less digits than its factorization.

102034313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 102034313 is about 10101.2035421528. The cubic root of 102034313 is about 467.2852596465.

Adding to 102034313 its reverse (313430201), we get a palindrome (415464514).

The spelling of 102034313 in words is "one hundred two million, thirty-four thousand, three hundred thirteen".