107670 has 32 divisors (see below), whose sum is σ = 268128. Its totient is φ = 27648.

The previous prime is 107647. The next prime is 107671. The reversal of 107670 is 76701.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107671) by changing a digit.

107670 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁰⁷⁶⁷⁰ is an apocalyptic number.

107670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

107670 is an abundant number, since it is smaller than the sum of its proper divisors (160458).

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

107670 is a wasteful number, since it uses less digits than its factorization.

107670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 107670 is about 328.1310713724. The cubic root of 107670 is about 47.5734781518.

It can be divided in two parts, 107 and 670, that added together give a palindrome (777).

The spelling of 107670 in words is "one hundred seven thousand, six hundred seventy".