102253210400 has 144 divisors (see below), whose sum is σ = 272593677888. Its totient is φ = 37145472000.

The previous prime is 102253210379. The next prime is 102253210439. The reversal of 102253210400 is 4012352201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 9613085 + ... + 9623715.

It is an arithmetic number, because the mean of its divisors is an integer number (1893011652).

Almost surely, 2^102253210400 is an apocalyptic number.

102253210400 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 102253210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136296838944).

102253210400 is an abundant number, since it is smaller than the sum of its proper divisors (170340467488).

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

102253210400 is a wasteful number, since it uses less digits than its factorization.

102253210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 102253210400 its reverse (4012352201), we get a palindrome (106265562601).

The spelling of 102253210400 in words is "one hundred two billion, two hundred fifty-three million, two hundred ten thousand, four hundred".