105264456 has 32 divisors (see below), whose sum is σ = 287085600. Its totient is φ = 31898240.

The previous prime is 105264451. The next prime is 105264469. The reversal of 105264456 is 654462501.

It is a super-2 number, since 2×105264456² = 22161211393951872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105264451) 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 7 ways as a sum of consecutive naturals, for example, 199101 + ... + 199628.

It is an arithmetic number, because the mean of its divisors is an integer number (8971425).

Almost surely, 2^105264456 is an apocalyptic number.

It is an amenable number.

105264456 is an abundant number, since it is smaller than the sum of its proper divisors (181821144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105264456 is a wasteful number, since it uses less digits than its factorization.

105264456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398749 (or 398745 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 105264456 is about 10259.8467824817. The cubic root of 105264456 is about 472.1651366062.

The spelling of 105264456 in words is "one hundred five million, two hundred sixty-four thousand, four hundred fifty-six".