101807 has 2 divisors, whose sum is σ = 101808. Its totient is φ = 101806.

The previous prime is 101797. The next prime is 101833. The reversal of 101807 is 708101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101807 - 2¹² = 97711 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

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 101807.

It is not a weakly prime, because it can be changed into another prime (101837) 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 as a sum of consecutive naturals, namely, 50903 + 50904.

It is an arithmetic number, because the mean of its divisors is an integer number (50904).

2¹⁰¹⁸⁰⁷ is an apocalyptic number.

101807 is a deficient number, since it is larger than the sum of its proper divisors (1).

101807 is an equidigital number, since it uses as much as digits as its factorization.

101807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 101807 is about 319.0720921673. The cubic root of 101807 is about 46.6937994143.

Adding to 101807 its reverse (708101), we get a palindrome (809908).

The spelling of 101807 in words is "one hundred one thousand, eight hundred seven".