105080142 has 64 divisors (see below), whose sum is σ = 225054720. Its totient is φ = 32659200.

The previous prime is 105080141. The next prime is 105080149. The reversal of 105080142 is 241080501.

It is a super-2 number, since 2×105080142² = 22083672485480328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105080141) 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 31 ways as a sum of consecutive naturals, for example, 963984 + ... + 964092.

It is an arithmetic number, because the mean of its divisors is an integer number (3516480).

Almost surely, 2^105080142 is an apocalyptic number.

105080142 is an abundant number, since it is smaller than the sum of its proper divisors (119974578).

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

105080142 is a wasteful number, since it uses less digits than its factorization.

105080142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105080142 is about 10250.8605492417. The cubic root of 105080142 is about 471.8893946284.

The spelling of 105080142 in words is "one hundred five million, eighty thousand, one hundred forty-two".