102400464144 has 160 divisors (see below), whose sum is σ = 298166916096. Its totient is φ = 30010037760.

The previous prime is 102400464097. The next prime is 102400464163. The reversal of 102400464144 is 441464004201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246819 + ... + 3278205.

Almost surely, 2^102400464144 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 102400464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149083458048).

102400464144 is an abundant number, since it is smaller than the sum of its proper divisors (195766451952).

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

102400464144 is a wasteful number, since it uses less digits than its factorization.

102400464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31613 (or 31607 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102400464144 its reverse (441464004201), we get a palindrome (543864468345).

The spelling of 102400464144 in words is "one hundred two billion, four hundred million, four hundred sixty-four thousand, one hundred forty-four".