107105940 has 144 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 26611200.

The previous prime is 107105927. The next prime is 107105941. The reversal of 107105940 is 49501701.

107105940 is a `hidden beast` number, since 1 + 0 + 71 + 0 + 594 + 0 = 666.

It is a super-2 number, since 2×107105940² = 22943364766567200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107105941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169425 + ... + 170055.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 2^107105940 is an apocalyptic number.

107105940 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 107105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

107105940 is an abundant number, since it is smaller than the sum of its proper divisors (240726636).

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

107105940 is a wasteful number, since it uses less digits than its factorization.

107105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 107105940 is about 10349.1999690797. The cubic root of 107105940 is about 474.9025691209.

The spelling of 107105940 in words is "one hundred seven million, one hundred five thousand, nine hundred forty".