102944000 has 72 divisors (see below), whose sum is σ = 256526088. Its totient is φ = 41164800.

The previous prime is 102943961. The next prime is 102944011. The reversal of 102944000 is 449201.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 102900736 = 208^2 + 10144^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30392 + ... + 33608.

Almost surely, 2^102944000 is an apocalyptic number.

102944000 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 102944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128263044).

102944000 is an abundant number, since it is smaller than the sum of its proper divisors (153582088).

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

102944000 is an frugal number, since it uses more digits than its factorization.

102944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102944000 is about 10146.1322680123. The cubic root of 102944000 is about 468.6698470359.

The spelling of 102944000 in words is "one hundred two million, nine hundred forty-four thousand".