102804975 has 72 divisors (see below), whose sum is σ = 226672992. Its totient is φ = 43372800.

The previous prime is 102804973. The next prime is 102804979. The reversal of 102804975 is 579408201.

It is not a de Polignac number, because 102804975 - 2¹ = 102804973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102804973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17965 + ... + 22985.

It is an arithmetic number, because the mean of its divisors is an integer number (3148236).

Almost surely, 2^102804975 is an apocalyptic number.

102804975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102804975 is an abundant number, since it is smaller than the sum of its proper divisors (123868017).

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

102804975 is a wasteful number, since it uses less digits than its factorization.

102804975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102804975 is about 10139.2788205079. The cubic root of 102804975 is about 468.4587737703.

The spelling of 102804975 in words is "one hundred two million, eight hundred four thousand, nine hundred seventy-five".