105006060 has 36 divisors (see below), whose sum is σ = 318518928. Its totient is φ = 28001568.

The previous prime is 105006029. The next prime is 105006079. The reversal of 105006060 is 60600501.

105006060 is a `hidden beast` number, since 10 + 50 + 0 + 606 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105006060² = 22052545273447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291504 + ... + 291863.

It is an arithmetic number, because the mean of its divisors is an integer number (8847748).

Almost surely, 2^105006060 is an apocalyptic number.

105006060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105006060 is an abundant number, since it is smaller than the sum of its proper divisors (213512868).

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

105006060 is a wasteful number, since it uses less digits than its factorization.

105006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583382 (or 583377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105006060 is about 10247.2464594153. The cubic root of 105006060 is about 471.7784738017.

Adding to 105006060 its reverse (60600501), we get a palindrome (165606561).

The spelling of 105006060 in words is "one hundred five million, six thousand, sixty".