103431134400 has 336 divisors, whose sum is σ = 372669742848. Its totient is φ = 24906240000.

The previous prime is 103431134393. The next prime is 103431134407. The reversal of 103431134400 is 4431134301.

It is an interprime number because it is at equal distance from previous prime (103431134393) and next prime (103431134407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103431134407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7966314 + ... + 7979286.

Almost surely, 2^103431134400 is an apocalyptic number.

103431134400 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 103431134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186334871424).

103431134400 is an abundant number, since it is smaller than the sum of its proper divisors (269238608448).

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

103431134400 is a wasteful number, since it uses less digits than its factorization.

103431134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103431134400 its reverse (4431134301), we get a palindrome (107862268701).

Subtracting from 103431134400 its reverse (4431134301), we obtain a palindrome (99000000099).

The spelling of 103431134400 in words is "one hundred three billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred".