106713 has 12 divisors (see below), whose sum is σ = 157248. Its totient is φ = 69720.

The previous prime is 106703. The next prime is 106721. The reversal of 106713 is 317601.

It is not a de Polignac number, because 106713 - 2⁵ = 106681 is a prime.

It is a super-2 number, since 2×106713² = 22775328738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2¹⁰⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

106713 is a deficient number, since it is larger than the sum of its proper divisors (50535).

106713 is a wasteful number, since it uses less digits than its factorization.

106713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

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

The square root of 106713 is about 326.6695578103. The cubic root of 106713 is about 47.4321098460.

The spelling of 106713 in words is "one hundred six thousand, seven hundred thirteen".