102844000 has 96 divisors (see below), whose sum is σ = 288864576. Its totient is φ = 35251200.

The previous prime is 102843991. The next prime is 102844051. The reversal of 102844000 is 448201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26164 + ... + 29836.

It is an arithmetic number, because the mean of its divisors is an integer number (3009006).

Almost surely, 2^102844000 is an apocalyptic number.

102844000 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 102844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144432288).

102844000 is an abundant number, since it is smaller than the sum of its proper divisors (186020576).

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

102844000 is an equidigital number, since it uses as much as digits as its factorization.

102844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 102844000 is about 10141.2030844471. The cubic root of 102844000 is about 468.5180422733.

The spelling of 102844000 in words is "one hundred two million, eight hundred forty-four thousand".