105908660 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 33661440.

The previous prime is 105908639. The next prime is 105908669. The reversal of 105908660 is 66809501.

It is a super-2 number, since 2×105908660² = 22433288525991200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105908660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105908669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53366 + ... + 55314.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^105908660 is an apocalyptic number.

105908660 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 105908660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

105908660 is an abundant number, since it is smaller than the sum of its proper divisors (169275340).

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

105908660 is a wasteful number, since it uses less digits than its factorization.

105908660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105908660 is about 10291.1933224481. The cubic root of 105908660 is about 473.1263736278.

The spelling of 105908660 in words is "one hundred five million, nine hundred eight thousand, six hundred sixty".