102305823 has 32 divisors (see below), whose sum is σ = 151200000. Its totient is φ = 61270272.

The previous prime is 102305821. The next prime is 102305831. The reversal of 102305823 is 328503201.

It is not a de Polignac number, because 102305823 - 2¹ = 102305821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102305793 and 102305802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305821) 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 31 ways as a sum of consecutive naturals, for example, 97003 + ... + 98051.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^102305823 is an apocalyptic number.

102305823 is a deficient number, since it is larger than the sum of its proper divisors (48894177).

102305823 is a wasteful number, since it uses less digits than its factorization.

102305823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102305823 is about 10114.6341011428. The cubic root of 102305823 is about 467.6993695295.

The spelling of 102305823 in words is "one hundred two million, three hundred five thousand, eight hundred twenty-three".