105058407 has 16 divisors (see below), whose sum is σ = 141405440. Its totient is φ = 69379200.

The previous prime is 105058403. The next prime is 105058427. The reversal of 105058407 is 704850501.

It is not a de Polignac number, because 105058407 - 2² = 105058403 is a prime.

It is a super-2 number, since 2×105058407² = 22074537762755298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105058403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239094 + ... + 239532.

It is an arithmetic number, because the mean of its divisors is an integer number (8837840).

Almost surely, 2^105058407 is an apocalyptic number.

105058407 is a deficient number, since it is larger than the sum of its proper divisors (36347033).

105058407 is a wasteful number, since it uses less digits than its factorization.

105058407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 105058407 is about 10249.8003395188. The cubic root of 105058407 is about 471.8568568496.

The spelling of 105058407 in words is "one hundred five million, fifty-eight thousand, four hundred seven".