105458 has 8 divisors (see below), whose sum is σ = 160752. Its totient is φ = 51876.

The previous prime is 105449. The next prime is 105467. The reversal of 105458 is 854501.

It is an interprime number because it is at equal distance from previous prime (105449) and next prime (105467).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105458² = 22242779528, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105458.

It is an unprimeable number.

105458 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 260 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (20094).

2¹⁰⁵⁴⁵⁸ is an apocalyptic number.

105458 is a deficient number, since it is larger than the sum of its proper divisors (55294).

105458 is an equidigital number, since it uses as much as digits as its factorization.

105458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105458 is about 324.7429752897. The cubic root of 105458 is about 47.2454340838.

Adding to 105458 its reverse (854501), we get a palindrome (959959).

The spelling of 105458 in words is "one hundred five thousand, four hundred fifty-eight".