1005861101 has 16 divisors (see below), whose sum is σ = 1171353600. Its totient is φ = 845954928.

The previous prime is 1005861091. The next prime is 1005861107. The reversal of 1005861101 is 1011685001.

It is a happy number.

It is not a de Polignac number, because 1005861101 - 2¹⁰ = 1005860077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005861107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84560 + ... + 95718.

It is an arithmetic number, because the mean of its divisors is an integer number (73209600).

Almost surely, 2^1005861101 is an apocalyptic number.

It is an amenable number.

1005861101 is a deficient number, since it is larger than the sum of its proper divisors (165492499).

1005861101 is a wasteful number, since it uses less digits than its factorization.

1005861101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408.

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 1005861101 is about 31715.3133517549. The cubic root of 1005861101 is about 1001.9498957686.

The spelling of 1005861101 in words is "one billion, five million, eight hundred sixty-one thousand, one hundred one".