107001 has 10 divisors (see below), whose sum is σ = 159962. Its totient is φ = 71280.

The previous prime is 106993. The next prime is 107021. The reversal of 107001 is 100701.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 2025 = 324^2 + 45^2 .

It is not a de Polignac number, because 107001 - 2³ = 106993 is a prime.

It is a super-2 number, since 2×107001² = 22898428002, which contains 22 as substring.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107001.

It is not an unprimeable number, because it can be changed into a prime (107021) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 580 + ... + 741.

2¹⁰⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

107001 is a deficient number, since it is larger than the sum of its proper divisors (52961).

107001 is an equidigital number, since it uses as much as digits as its factorization.

107001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

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

The square root of 107001 is about 327.1100732170. The cubic root of 107001 is about 47.4747418807.

Adding to 107001 its reverse (100701), we get a palindrome (207702).

It can be divided in two parts, 10700 and 1, that added together give a palindrome (10701).

The spelling of 107001 in words is "one hundred seven thousand, one", and thus it is an iban number.