1006771104 has 36 divisors (see below), whose sum is σ = 2863006146. Its totient is φ = 335590272.

The previous prime is 1006771091. The next prime is 1006771121. The reversal of 1006771104 is 4011776001.

It can be written as a sum of positive squares in only one way, i.e., 588159504 + 418611600 = 24252^2 + 20460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 1747579 + ... + 1748154.

Almost surely, 2^1006771104 is an apocalyptic number.

It is an amenable number.

1006771104 is an abundant number, since it is smaller than the sum of its proper divisors (1856235042).

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

1006771104 is a wasteful number, since it uses less digits than its factorization.

1006771104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495749 (or 3495738 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1006771104 is about 31729.6565376936. The cubic root of 1006771104 is about 1002.2519595381.

The spelling of 1006771104 in words is "one billion, six million, seven hundred seventy-one thousand, one hundred four".