1072105506 has 24 divisors (see below), whose sum is σ = 2345898204. Its totient is φ = 353829600.

The previous prime is 1072105499. The next prime is 1072105523. The reversal of 1072105506 is 6055012701.

1072105506 is a `hidden beast` number, since 107 + 2 + 1 + 0 + 550 + 6 = 666.

1072105506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1068701481 + 3404025 = 32691^2 + 1845^2 .

It is a super-2 number, since 2×1072105506² = 2298820431991032072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072105506.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293041 + ... + 296676.

Almost surely, 2^1072105506 is an apocalyptic number.

1072105506 is an abundant number, since it is smaller than the sum of its proper divisors (1273792698).

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

1072105506 is a wasteful number, since it uses less digits than its factorization.

1072105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589826 (or 589823 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1072105506 is about 32743.0222490228. The cubic root of 1072105506 is about 1023.4795640560.

The spelling of 1072105506 in words is "one billion, seventy-two million, one hundred five thousand, five hundred six".