105005660 has 48 divisors (see below), whose sum is σ = 224652960. Its totient is φ = 41222400.

The previous prime is 105005657. The next prime is 105005713. The reversal of 105005660 is 66500501.

It is a super-2 number, since 2×105005660² = 22052377264071200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458426 + ... + 458654.

It is an arithmetic number, because the mean of its divisors is an integer number (4680270).

Almost surely, 2^105005660 is an apocalyptic number.

105005660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005660 is an abundant number, since it is smaller than the sum of its proper divisors (119647300).

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

105005660 is a wasteful number, since it uses less digits than its factorization.

105005660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105005660 is about 10247.2269419585. The cubic root of 105005660 is about 471.7778747517. Note that the first 3 decimals are identical.

The spelling of 105005660 in words is "one hundred five million, five thousand, six hundred sixty".