104134431400 has 192 divisors, whose sum is σ = 250698240000. Its totient is φ = 40206355200.

The previous prime is 104134431397. The next prime is 104134431403. The reversal of 104134431400 is 4134431401.

It is an interprime number because it is at equal distance from previous prime (104134431397) and next prime (104134431403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104134431403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334837245 + ... + 334837555.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720000).

Almost surely, 2^104134431400 is an apocalyptic number.

104134431400 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 104134431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120000).

104134431400 is an abundant number, since it is smaller than the sum of its proper divisors (146563808600).

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

104134431400 is a wasteful number, since it uses less digits than its factorization.

104134431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 104134431400 its reverse (4134431401), we get a palindrome (108268862801).

Subtracting from 104134431400 its reverse (4134431401), we obtain a palindrome (99999999999).

The spelling of 104134431400 in words is "one hundred four billion, one hundred thirty-four million, four hundred thirty-one thousand, four hundred".