102444400 has 60 divisors (see below), whose sum is σ = 247584352. Its totient is φ = 40734720.

The previous prime is 102444383. The next prime is 102444403. The reversal of 102444400 is 4444201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76537 + ... + 77863.

Almost surely, 2^102444400 is an apocalyptic number.

102444400 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 102444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123792176).

102444400 is an abundant number, since it is smaller than the sum of its proper divisors (145139952).

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

102444400 is a wasteful number, since it uses less digits than its factorization.

102444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 102444400 is about 10121.4821049093. The cubic root of 102444400 is about 467.9104462537.

Adding to 102444400 its reverse (4444201), we get a palindrome (106888601).

The spelling of 102444400 in words is "one hundred two million, four hundred forty-four thousand, four hundred".