105231434400 has 216 divisors, whose sum is σ = 383043233664. Its totient is φ = 27156441600.

The previous prime is 105231434387. The next prime is 105231434401. The reversal of 105231434400 is 4434132501.

It is a happy number.

105231434400 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 314 + 344 + 0 + 0 = 666.

It is a super-2 number, since 2×105231434400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105231434401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12534 + ... + 458933.

It is an arithmetic number, because the mean of its divisors is an integer number (1773348304).

Almost surely, 2^105231434400 is an apocalyptic number.

105231434400 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 105231434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191521616832).

105231434400 is an abundant number, since it is smaller than the sum of its proper divisors (277811799264).

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

105231434400 is a wasteful number, since it uses less digits than its factorization.

105231434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471524 (or 471508 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105231434400 its reverse (4434132501), we get a palindrome (109665566901).

The spelling of 105231434400 in words is "one hundred five billion, two hundred thirty-one million, four hundred thirty-four thousand, four hundred".