102144000 has 384 divisors, whose sum is σ = 408844800. Its totient is φ = 22118400.

The previous prime is 102143959. The next prime is 102144001. The reversal of 102144000 is 441201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375991 + ... + 5376009.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^102144000 is an apocalyptic number.

102144000 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 102144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

102144000 is an abundant number, since it is smaller than the sum of its proper divisors (306700800).

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

102144000 is an equidigital number, since it uses as much as digits as its factorization.

102144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102144000 is about 10106.6314863064. The cubic root of 102144000 is about 467.4526437394.

Adding to 102144000 its reverse (441201), we get a palindrome (102585201).

The spelling of 102144000 in words is "one hundred two million, one hundred forty-four thousand".