105464 has 8 divisors (see below), whose sum is σ = 197760. Its totient is φ = 52728.

The previous prime is 105449. The next prime is 105467. The reversal of 105464 is 464501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105464² = 22245310592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105467) 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 as a sum of consecutive naturals, namely, 6584 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (24720).

2¹⁰⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

105464 is a deficient number, since it is larger than the sum of its proper divisors (92296).

105464 is a wasteful number, since it uses less digits than its factorization.

105464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13185 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105464 is about 324.7522132334. The cubic root of 105464 is about 47.2463300715.

Adding to 105464 its reverse (464501), we get a palindrome (569965).

The spelling of 105464 in words is "one hundred five thousand, four hundred sixty-four".