101007 has 20 divisors (see below), whose sum is σ = 159720. Its totient is φ = 63504.

The previous prime is 100999. The next prime is 101009. The reversal of 101007 is 700101.

It is not a de Polignac number, because 101007 - 2³ = 100999 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101007.

It is not an unprimeable number, because it can be changed into a prime (101009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2328 + ... + 2370.

It is an arithmetic number, because the mean of its divisors is an integer number (7986).

2¹⁰¹⁰⁰⁷ is an apocalyptic number.

101007 is a deficient number, since it is larger than the sum of its proper divisors (58713).

101007 is an equidigital number, since it uses as much as digits as its factorization.

101007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 101007 is about 317.8159844942. The cubic root of 101007 is about 46.5711709300.

Adding to 101007 its reverse (700101), we get a palindrome (801108).

The spelling of 101007 in words is "one hundred one thousand, seven", and thus it is an iban number.