102144400 has 30 divisors (see below), whose sum is σ = 245402882. Its totient is φ = 40857600.

The previous prime is 102144397. The next prime is 102144421. The reversal of 102144400 is 4441201.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 101848464 = 544^2 + 10092^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127281 + ... + 128080.

Almost surely, 2^102144400 is an apocalyptic number.

102144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102144400 is an abundant number, since it is smaller than the sum of its proper divisors (143258482).

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

102144400 is a wasteful number, since it uses less digits than its factorization.

102144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255379 (or 255368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102144400 is about 10106.6512752741. The cubic root of 102144400 is about 467.4532539264.

Adding to 102144400 its reverse (4441201), we get a palindrome (106585601).

The spelling of 102144400 in words is "one hundred two million, one hundred forty-four thousand, four hundred".