105640 has 32 divisors (see below), whose sum is σ = 252000. Its totient is φ = 39744.

The previous prime is 105619. The next prime is 105649. The reversal of 105640 is 46501.

It is a super-2 number, since 2×105640² = 22319619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105649) 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, 691 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2¹⁰⁵⁶⁴⁰ is an apocalyptic number.

105640 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 105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

105640 is an abundant number, since it is smaller than the sum of its proper divisors (146360).

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

105640 is a wasteful number, since it uses less digits than its factorization.

105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105640 is about 325.0230761038. The cubic root of 105640 is about 47.2725972742.

The spelling of 105640 in words is "one hundred five thousand, six hundred forty".