5105342100400 has 90 divisors (see below), whose sum is σ = 13029531124220. Its totient is φ = 1922011100160.

The previous prime is 5105342100343. The next prime is 5105342100413. The reversal of 5105342100400 is 40012435015.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21966330 + ... + 22197529.

Almost surely, 2^{5105342100400} is an apocalyptic number.

5105342100400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105342100400 is an abundant number, since it is smaller than the sum of its proper divisors (7924189023820).

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

5105342100400 is a wasteful number, since it uses less digits than its factorization.

5105342100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44163911 (or 44163883 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 5105342100400 its reverse (40012435015), we get a palindrome (5145354535415).

The spelling of 5105342100400 in words is "five trillion, one hundred five billion, three hundred forty-two million, one hundred thousand, four hundred".