105185142 has 20 divisors (see below), whose sum is σ = 235692996. Its totient is φ = 35061660.

The previous prime is 105185111. The next prime is 105185147. The reversal of 105185142 is 241581501.

105185142 is a `hidden beast` number, since 1 + 0 + 518 + 5 + 142 = 666.

It is a super-2 number, since 2×105185142² = 22127828195120328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105185147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 324484 + ... + 324807.

Almost surely, 2^105185142 is an apocalyptic number.

105185142 is an abundant number, since it is smaller than the sum of its proper divisors (130507854).

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

105185142 is an equidigital number, since it uses as much as digits as its factorization.

105185142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649305 (or 649296 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105185142 is about 10255.9807917137. The cubic root of 105185142 is about 472.0465188040.

The spelling of 105185142 in words is "one hundred five million, one hundred eighty-five thousand, one hundred forty-two".