106740 has 36 divisors (see below), whose sum is σ = 324324. Its totient is φ = 28416.

The previous prime is 106739. The next prime is 106747. The reversal of 106740 is 47601.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 54756 = 228^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106740² = 22786855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106747) 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, 117 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2¹⁰⁶⁷⁴⁰ is an apocalyptic number.

106740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106740 is an abundant number, since it is smaller than the sum of its proper divisors (217584).

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

106740 is a wasteful number, since it uses less digits than its factorization.

106740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106740 is about 326.7108813615. The cubic root of 106740 is about 47.4361098553.

The spelling of 106740 in words is "one hundred six thousand, seven hundred forty".