106337 has 8 divisors (see below), whose sum is σ = 132672. Its totient is φ = 82800.

The previous prime is 106331. The next prime is 106349. The reversal of 106337 is 733601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106337 - 2⁴ = 106321 is a prime.

It is a super-2 number, since 2×106337² = 22615115138, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106337.

It is not an unprimeable number, because it can be changed into a prime (106331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (16584).

2¹⁰⁶³³⁷ is an apocalyptic number.

It is an amenable number.

106337 is a deficient number, since it is larger than the sum of its proper divisors (26335).

106337 is a wasteful number, since it uses less digits than its factorization.

106337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 106337 is about 326.0935448610. The cubic root of 106337 is about 47.3763357578.

Adding to 106337 its reverse (733601), we get a palindrome (839938).

Subtracting 106337 from its reverse (733601), we obtain a square (627264 = 792²).

The spelling of 106337 in words is "one hundred six thousand, three hundred thirty-seven".