1005741104 has 40 divisors (see below), whose sum is σ = 2047882320. Its totient is φ = 477888768.

The previous prime is 1005741047. The next prime is 1005741119. The reversal of 1005741104 is 4011475001.

It is a happy number.

1005741104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1005741104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5702 + ... + 45210.

It is an arithmetic number, because the mean of its divisors is an integer number (51197058).

Almost surely, 2^1005741104 is an apocalyptic number.

It is an amenable number.

1005741104 is an abundant number, since it is smaller than the sum of its proper divisors (1042141216).

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

1005741104 is a wasteful number, since it uses less digits than its factorization.

1005741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39597 (or 39591 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1005741104 is about 31713.4215120349. The cubic root of 1005741104 is about 1001.9100507168.

The spelling of 1005741104 in words is "one billion, five million, seven hundred forty-one thousand, one hundred four".