105234400 has 36 divisors (see below), whose sum is σ = 256905432. Its totient is φ = 42093440.

The previous prime is 105234397. The next prime is 105234419. The reversal of 105234400 is 4432501.

It is a super-2 number, since 2×105234400² = 22148557886720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64972 + ... + 66571.

It is an arithmetic number, because the mean of its divisors is an integer number (7136262).

Almost surely, 2^105234400 is an apocalyptic number.

105234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105234400 is an abundant number, since it is smaller than the sum of its proper divisors (151671032).

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

105234400 is a wasteful number, since it uses less digits than its factorization.

105234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131563 (or 131550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105234400 is about 10258.3819386880. The cubic root of 105234400 is about 472.1201934640.

Adding to 105234400 its reverse (4432501), we get a palindrome (109666901).

The spelling of 105234400 in words is "one hundred five million, two hundred thirty-four thousand, four hundred".