105150060 has 36 divisors (see below), whose sum is σ = 318955728. Its totient is φ = 28039968.

The previous prime is 105149939. The next prime is 105150061. The reversal of 105150060 is 60051501.

105150060 is a `hidden beast` number, since 105 + 1 + 500 + 60 = 666.

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

It is a super-2 number, since 2×105150060² = 22113070236007200, 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 (105150061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291904 + ... + 292263.

Almost surely, 2^105150060 is an apocalyptic number.

105150060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105150060 is an abundant number, since it is smaller than the sum of its proper divisors (213805668).

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

105150060 is a wasteful number, since it uses less digits than its factorization.

105150060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584182 (or 584177 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105150060 is about 10254.2703299650. The cubic root of 105150060 is about 471.9940330089.

The spelling of 105150060 in words is "one hundred five million, one hundred fifty thousand, sixty".