102434214400 has 120 divisors (see below), whose sum is σ = 290044560960. Its totient is φ = 35120271360.

The previous prime is 102434214383. The next prime is 102434214403. The reversal of 102434214400 is 4412434201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102434214403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482020 + ... + 661219.

It is an arithmetic number, because the mean of its divisors is an integer number (2417038008).

Almost surely, 2^102434214400 is an apocalyptic number.

102434214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102434214400 is an abundant number, since it is smaller than the sum of its proper divisors (187610346560).

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

102434214400 is an equidigital number, since it uses as much as digits as its factorization.

102434214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143274 (or 1143253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102434214400 its reverse (4412434201), we get a palindrome (106846648601).

The spelling of 102434214400 in words is "one hundred two billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred".