102431430144 has 160 divisors (see below), whose sum is σ = 303841802880. Its totient is φ = 34072012800.

The previous prime is 102431430139. The next prime is 102431430151. The reversal of 102431430144 is 441034134201.

102431430144 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 314 + 301 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 6780039 + ... + 6795129.

It is an arithmetic number, because the mean of its divisors is an integer number (1899011268).

Almost surely, 2^102431430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102431430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151920901440).

102431430144 is an abundant number, since it is smaller than the sum of its proper divisors (201410372736).

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

102431430144 is an equidigital number, since it uses as much as digits as its factorization.

102431430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15609 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102431430144 its reverse (441034134201), we get a palindrome (543465564345).

The spelling of 102431430144 in words is "one hundred two billion, four hundred thirty-one million, four hundred thirty thousand, one hundred forty-four".