1006101 has 10 divisors (see below), whose sum is σ = 1503062. Its totient is φ = 670680.

The previous prime is 1006091. The next prime is 1006123. The reversal of 1006101 is 1016001.

It can be written as a sum of positive squares in only one way, i.e., 998001 + 8100 = 999^2 + 90^2 .

It is not a de Polignac number, because 1006101 - 2⁶ = 1006037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006151) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6130 + ... + 6291.

2^1006101 is an apocalyptic number.

It is an amenable number.

1006101 is a deficient number, since it is larger than the sum of its proper divisors (496961).

1006101 is an equidigital number, since it uses as much as digits as its factorization.

1006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1006101 is about 1003.0458613643. The cubic root of 1006101 is about 100.2029544828.

The spelling of 1006101 in words is "one million, six thousand, one hundred one".