102134400000 has 264 divisors, whose sum is σ = 340291969920. Its totient is φ = 27233280000.

The previous prime is 102134399989. The next prime is 102134400013. The reversal of 102134400000 is 4431201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9594681 + ... + 9605319.

Almost surely, 2^102134400000 is an apocalyptic number.

102134400000 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 102134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145984960).

102134400000 is an abundant number, since it is smaller than the sum of its proper divisors (238157569920).

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

102134400000 is an frugal number, since it uses more digits than its factorization.

102134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102134400000 its reverse (4431201), we get a palindrome (102138831201).

The spelling of 102134400000 in words is "one hundred two billion, one hundred thirty-four million, four hundred thousand".