102442400 has 36 divisors (see below), whose sum is σ = 250089462. Its totient is φ = 40976640.

The previous prime is 102442369. The next prime is 102442423. The reversal of 102442400 is 4244201.

It can be written as a sum of positive squares in 3 ways, for example, as 84566416 + 17875984 = 9196^2 + 4228^2 .

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, 63227 + ... + 64826.

Almost surely, 2^102442400 is an apocalyptic number.

102442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102442400 is an abundant number, since it is smaller than the sum of its proper divisors (147647062).

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

102442400 is a wasteful number, since it uses less digits than its factorization.

102442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128073 (or 128060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 102442400 is about 10121.3833046674. The cubic root of 102442400 is about 467.9074012622.

Adding to 102442400 its reverse (4244201), we get a palindrome (106686601).

The spelling of 102442400 in words is "one hundred two million, four hundred forty-two thousand, four hundred".