102604000 has 96 divisors (see below), whose sum is σ = 255449376. Its totient is φ = 40499200.

The previous prime is 102603983. The next prime is 102604003. The reversal of 102604000 is 406201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102604003) 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, 451887 + ... + 452113.

It is an arithmetic number, because the mean of its divisors is an integer number (2660931).

Almost surely, 2^102604000 is an apocalyptic number.

102604000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

102604000 is an abundant number, since it is smaller than the sum of its proper divisors (152845376).

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

102604000 is a wasteful number, since it uses less digits than its factorization.

102604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102604000 is about 10129.3632573820. The cubic root of 102604000 is about 468.1533089179.

The spelling of 102604000 in words is "one hundred two million, six hundred four thousand".