102431041400 has 96 divisors (see below), whose sum is σ = 242705931600. Its totient is φ = 40192588800.

The previous prime is 102431041367. The next prime is 102431041421. The reversal of 102431041400 is 4140134201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4612724 + ... + 4634876.

Almost surely, 2^102431041400 is an apocalyptic number.

102431041400 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 102431041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121352965800).

102431041400 is an abundant number, since it is smaller than the sum of its proper divisors (140274890200).

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

102431041400 is a wasteful number, since it uses less digits than its factorization.

102431041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22609 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102431041400 its reverse (4140134201), we get a palindrome (106571175601).

The spelling of 102431041400 in words is "one hundred two billion, four hundred thirty-one million, forty-one thousand, four hundred".