102235238400 has 312 divisors, whose sum is σ = 346303553904. Its totient is φ = 26594508800.

The previous prime is 102235238389. The next prime is 102235238423. The reversal of 102235238400 is 4832532201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 12591142 + ... + 12599258.

Almost surely, 2^102235238400 is an apocalyptic number.

102235238400 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 102235238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173151776952).

102235238400 is an abundant number, since it is smaller than the sum of its proper divisors (244068315504).

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

102235238400 is an equidigital number, since it uses as much as digits as its factorization.

102235238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 102235238400 in words is "one hundred two billion, two hundred thirty-five million, two hundred thirty-eight thousand, four hundred".