1006105506 has 32 divisors (see below), whose sum is σ = 2301585408. Its totient is φ = 287219280.

The previous prime is 1006105489. The next prime is 1006105549. The reversal of 1006105506 is 6055016001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44551 + ... + 63221.

It is an arithmetic number, because the mean of its divisors is an integer number (71924544).

Almost surely, 2^1006105506 is an apocalyptic number.

1006105506 is an abundant number, since it is smaller than the sum of its proper divisors (1295479902).

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

1006105506 is a wasteful number, since it uses less digits than its factorization.

1006105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1006105506 is about 31719.1662248553. The cubic root of 1006105506 is about 1002.0310407474.

The spelling of 1006105506 in words is "one billion, six million, one hundred five thousand, five hundred six".