106760 has 32 divisors (see below), whose sum is σ = 255960. Its totient is φ = 39936.

The previous prime is 106759. The next prime is 106781. The reversal of 106760 is 67601.

It can be written as a sum of positive squares in 4 ways, for example, as 88804 + 17956 = 298^2 + 134^2 .

It is a super-2 number, since 2×106760² = 22795395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 758.

2¹⁰⁶⁷⁶⁰ is an apocalyptic number.

106760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127980).

106760 is an abundant number, since it is smaller than the sum of its proper divisors (149200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106760 is a wasteful number, since it uses less digits than its factorization.

106760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 106760 is about 326.7414880299. The cubic root of 106760 is about 47.4390723902.

It can be divided in two parts, 10 and 6760, that multiplied together give a square (67600 = 260²).

The spelling of 106760 in words is "one hundred six thousand, seven hundred sixty".