102993825 has 48 divisors (see below), whose sum is σ = 187416576. Its totient is φ = 49492800.

The previous prime is 102993823. The next prime is 102993827. The reversal of 102993825 is 528399201.

It is an interprime number because it is at equal distance from previous prime (102993823) and next prime (102993827).

It is not a de Polignac number, because 102993825 - 2¹ = 102993823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102993823) 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 47 ways as a sum of consecutive naturals, for example, 104284 + ... + 105266.

It is an arithmetic number, because the mean of its divisors is an integer number (3904512).

Almost surely, 2^102993825 is an apocalyptic number.

102993825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102993825 is a deficient number, since it is larger than the sum of its proper divisors (84422751).

102993825 is a wasteful number, since it uses less digits than its factorization.

102993825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 102993825 is about 10148.5873401178. The cubic root of 102993825 is about 468.7454470669.

The spelling of 102993825 in words is "one hundred two million, nine hundred ninety-three thousand, eight hundred twenty-five".