106837 has 4 divisors (see below), whose sum is σ = 112480. Its totient is φ = 101196.

The previous prime is 106823. The next prime is 106853. The reversal of 106837 is 738601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 738601 = 29 ⋅25469.

It is a cyclic number.

It is not a de Polignac number, because 106837 - 2¹¹ = 104789 is a prime.

It is a super-2 number, since 2×106837² = 22828289138, which contains 22 as substring.

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 106837.

It is not an unprimeable number, because it can be changed into a prime (106867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2793 + ... + 2830.

It is an arithmetic number, because the mean of its divisors is an integer number (28120).

2¹⁰⁶⁸³⁷ is an apocalyptic number.

It is an amenable number.

106837 is a deficient number, since it is larger than the sum of its proper divisors (5643).

106837 is an equidigital number, since it uses as much as digits as its factorization.

106837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106837 is about 326.8592969459. The cubic root of 106837 is about 47.4504746968.

The spelling of 106837 in words is "one hundred six thousand, eight hundred thirty-seven".