105414033 has 16 divisors (see below), whose sum is σ = 148619520. Its totient is φ = 66275856.

The previous prime is 105414031. The next prime is 105414053. The reversal of 105414033 is 330414501.

It is not a de Polignac number, because 105414033 - 2¹ = 105414031 is a prime.

It is a super-2 number, since 2×105414033² = 22224236706650178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105414031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8866 + ... + 17012.

It is an arithmetic number, because the mean of its divisors is an integer number (9288720).

Almost surely, 2^105414033 is an apocalyptic number.

It is an amenable number.

105414033 is a deficient number, since it is larger than the sum of its proper divisors (43205487).

105414033 is a wasteful number, since it uses less digits than its factorization.

105414033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105414033 is about 10267.1336311553. The cubic root of 105414033 is about 472.3886739768.

Adding to 105414033 its reverse (330414501), we get a palindrome (435828534).

The spelling of 105414033 in words is "one hundred five million, four hundred fourteen thousand, thirty-three".