102430400000 has 120 divisors (see below), whose sum is σ = 255813548760. Its totient is φ = 40971520000.

The previous prime is 102430399987. The next prime is 102430400027. The reversal of 102430400000 is 4034201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1567991 + ... + 1632009.

It is an arithmetic number, because the mean of its divisors is an integer number (2131779573).

Almost surely, 2^102430400000 is an apocalyptic number.

102430400000 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 102430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127906774380).

102430400000 is an abundant number, since it is smaller than the sum of its proper divisors (153383148760).

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

102430400000 is an frugal number, since it uses more digits than its factorization.

102430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64062 (or 64026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 102430400000 its reverse (4034201), we get a palindrome (102434434201).

The spelling of 102430400000 in words is "one hundred two billion, four hundred thirty million, four hundred thousand".