106044600456 has 24 divisors (see below), whose sum is σ = 287204126430. Its totient is φ = 35348200128.

The previous prime is 106044600451. The next prime is 106044600461. The reversal of 106044600456 is 654006440601.

106044600456 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 4 + 600 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106044600451) and next prime (106044600461).

It can be written as a sum of positive squares in only one way, i.e., 97550028900 + 8494571556 = 312330^2 + 92166^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106044600456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106044600456.

It is not an unprimeable number, because it can be changed into a prime (106044600451) 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 5 ways as a sum of consecutive naturals, for example, 736420765 + ... + 736420908.

Almost surely, 2^106044600456 is an apocalyptic number.

It is an amenable number.

106044600456 is an abundant number, since it is smaller than the sum of its proper divisors (181159525974).

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

106044600456 is a wasteful number, since it uses less digits than its factorization.

106044600456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472841685 (or 1472841678 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106044600456 in words is "one hundred six billion, forty-four million, six hundred thousand, four hundred fifty-six".