456105 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 224448.

The previous prime is 456091. The next prime is 456107. The reversal of 456105 is 501654.

It is a happy number.

It is not a de Polignac number, because 456105 - 2⁷ = 455977 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁴⁵⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

456105 is a deficient number, since it is larger than the sum of its proper divisors (330135).

456105 is a wasteful number, since it uses less digits than its factorization.

456105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 456105 is about 675.3554619606. The cubic root of 456105 is about 76.9759299590.

Adding to 456105 its reverse (501654), we get a palindrome (957759).

It can be divided in two parts, 456 and 105, that added together give a triangular number (561 = T₃₃).

The spelling of 456105 in words is "four hundred fifty-six thousand, one hundred five".