102823125 has 80 divisors (see below), whose sum is σ = 185940480. Its totient is φ = 50400000.

The previous prime is 102823109. The next prime is 102823141. The reversal of 102823125 is 521328201.

It is an interprime number because it is at equal distance from previous prime (102823109) and next prime (102823141).

It is not a de Polignac number, because 102823125 - 2⁴ = 102823109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102823095 and 102823104.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1685595 + ... + 1685655.

It is an arithmetic number, because the mean of its divisors is an integer number (2324256).

Almost surely, 2^102823125 is an apocalyptic number.

102823125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102823125 is a deficient number, since it is larger than the sum of its proper divisors (83117355).

102823125 is an equidigital number, since it uses as much as digits as its factorization.

102823125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 102823125 is about 10140.1738150783. The cubic root of 102823125 is about 468.4863406153.

The spelling of 102823125 in words is "one hundred two million, eight hundred twenty-three thousand, one hundred twenty-five".