105344234400 has 72 divisors (see below), whose sum is σ = 342895490784. Its totient is φ = 28091795200.

The previous prime is 105344234393. The next prime is 105344234417. The reversal of 105344234400 is 4432443501.

105344234400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105344234400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21944316 + ... + 21949115.

It is an arithmetic number, because the mean of its divisors is an integer number (4762437372).

Almost surely, 2^105344234400 is an apocalyptic number.

105344234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344234400 is an abundant number, since it is smaller than the sum of its proper divisors (237551256384).

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

105344234400 is a wasteful number, since it uses less digits than its factorization.

105344234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43893454 (or 43893441 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 105344234400 its reverse (4432443501), we get a palindrome (109776677901).

The spelling of 105344234400 in words is "one hundred five billion, three hundred forty-four million, two hundred thirty-four thousand, four hundred".