106757 has 8 divisors (see below), whose sum is σ = 124032. Its totient is φ = 90000.

The previous prime is 106753. The next prime is 106759. The reversal of 106757 is 757601.

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 106757 - 2² = 106753 is a prime.

It is a super-2 number, since 2×106757² = 22794114098, which contains 22 as substring.

It is a Duffinian number.

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 106757.

It is not an unprimeable number, because it can be changed into a prime (106751) 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, 632 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (15504).

2¹⁰⁶⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

106757 is a deficient number, since it is larger than the sum of its proper divisors (17275).

106757 is a wasteful number, since it uses less digits than its factorization.

106757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 106757 is about 326.7368972124. The cubic root of 106757 is about 47.4386280336.

The spelling of 106757 in words is "one hundred six thousand, seven hundred fifty-seven".