106005060 has 72 divisors (see below), whose sum is σ = 367488576. Its totient is φ = 24229440.

The previous prime is 106005023. The next prime is 106005061. The reversal of 106005060 is 60500601.

106005060 is a `hidden beast` number, since 1 + 0 + 600 + 5 + 0 + 60 = 666.

It is a super-2 number, since 2×106005060² = 22474145491207200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106005061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40806 + ... + 43325.

It is an arithmetic number, because the mean of its divisors is an integer number (5104008).

Almost surely, 2^106005060 is an apocalyptic number.

106005060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005060 is an abundant number, since it is smaller than the sum of its proper divisors (261483516).

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

106005060 is a wasteful number, since it uses less digits than its factorization.

106005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84153 (or 84148 counting only the distinct ones).

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

The square root of 106005060 is about 10295.8758733777. The cubic root of 106005060 is about 473.2698795232.

Adding to 106005060 its reverse (60500601), we get a palindrome (166505661).

The spelling of 106005060 in words is "one hundred six million, five thousand, sixty".