106731 has 16 divisors (see below), whose sum is σ = 163200. Its totient is φ = 68904.

The previous prime is 106727. The next prime is 106739. The reversal of 106731 is 137601.

It is not a de Polignac number, because 106731 - 2² = 106727 is a prime.

It is a super-2 number, since 2×106731² = 22783012722, which contains 22 as substring.

106731 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106731.

It is not an unprimeable number, because it can be changed into a prime (106739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560 + ... + 1626.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2¹⁰⁶⁷³¹ is an apocalyptic number.

106731 is a deficient number, since it is larger than the sum of its proper divisors (56469).

106731 is an equidigital number, since it uses as much as digits as its factorization.

106731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 106731 is about 326.6971074252. The cubic root of 106731 is about 47.4347765938.

The spelling of 106731 in words is "one hundred six thousand, seven hundred thirty-one".