456816105 has 40 divisors (see below), whose sum is σ = 820461312. Its totient is φ = 243166752.

The previous prime is 456816103. The next prime is 456816119. The reversal of 456816105 is 501618654.

It is not a de Polignac number, because 456816105 - 2¹ = 456816103 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 456816105.

It is not an unprimeable number, because it can be changed into a prime (456816103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 348862 + ... + 350168.

Almost surely, 2^456816105 is an apocalyptic number.

456816105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456816105 is a deficient number, since it is larger than the sum of its proper divisors (363645207).

456816105 is a wasteful number, since it uses less digits than its factorization.

456816105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 456816105 is about 21373.2567710211. The cubic root of 456816105 is about 770.1591311073.

The spelling of 456816105 in words is "four hundred fifty-six million, eight hundred sixteen thousand, one hundred five".