105606060 has 48 divisors (see below), whose sum is σ = 337940736. Its totient is φ = 24138432.

The previous prime is 105606013. The next prime is 105606077. The reversal of 105606060 is 60606501.

It is a super-3 number, since 3×105606060³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105606060.

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, 125302 + ... + 126141.

It is an arithmetic number, because the mean of its divisors is an integer number (7040432).

Almost surely, 2^105606060 is an apocalyptic number.

105606060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606060 is an abundant number, since it is smaller than the sum of its proper divisors (232334676).

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

105606060 is a wasteful number, since it uses less digits than its factorization.

105606060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251462 (or 251460 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105606060 is about 10276.4809151771. The cubic root of 105606060 is about 472.6753415474.

The spelling of 105606060 in words is "one hundred five million, six hundred six thousand, sixty".