105434413233200 has 60 divisors (see below), whose sum is σ = 255630087786480. Its totient is φ = 41786849998080.

The previous prime is 105434413233151. The next prime is 105434413233287. The reversal of 105434413233200 is 2332314434501.

It is a super-2 number, since 2×105434413233200² (a number of 29 digits) contains 22 as substring.

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, 1209066644 + ... + 1209153843.

It is an arithmetic number, because the mean of its divisors is an integer number (4260501463108).

Almost surely, 2^{105434413233200} is an apocalyptic number.

105434413233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105434413233200 is an abundant number, since it is smaller than the sum of its proper divisors (150195674553280).

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

105434413233200 is a wasteful number, since it uses less digits than its factorization.

105434413233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418220614 (or 2418220603 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 105434413233200 its reverse (2332314434501), we get a palindrome (107766727667701).

The spelling of 105434413233200 in words is "one hundred five trillion, four hundred thirty-four billion, four hundred thirteen million, two hundred thirty-three thousand, two hundred".