102544144000 has 64 divisors (see below), whose sum is σ = 254950417800. Its totient is φ = 41017651200.

The previous prime is 102544143983. The next prime is 102544144019. The reversal of 102544144000 is 441445201.

It can be written as a sum of positive squares in 4 ways, for example, as 64106188864 + 38437955136 = 253192^2 + 196056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3188505 + ... + 3220504.

Almost surely, 2^102544144000 is an apocalyptic number.

102544144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102544144000 is an abundant number, since it is smaller than the sum of its proper divisors (152406273800).

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

102544144000 is an frugal number, since it uses more digits than its factorization.

102544144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409038 (or 6409016 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 102544144000 its reverse (441445201), we get a palindrome (102985589201).

The spelling of 102544144000 in words is "one hundred two billion, five hundred forty-four million, one hundred forty-four thousand".