105742060 has 24 divisors (see below), whose sum is σ = 222412176. Its totient is φ = 42229440.

The previous prime is 105742027. The next prime is 105742061. The reversal of 105742060 is 60247501.

It is a super-2 number, since 2×105742060² = 22362766506087200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105742061) 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 7 ways as a sum of consecutive naturals, for example, 9790 + ... + 17530.

It is an arithmetic number, because the mean of its divisors is an integer number (9267174).

Almost surely, 2^105742060 is an apocalyptic number.

105742060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105742060 is an abundant number, since it is smaller than the sum of its proper divisors (116670116).

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

105742060 is a wasteful number, since it uses less digits than its factorization.

105742060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105742060 is about 10283.0958373439. The cubic root of 105742060 is about 472.8781590472.

Adding to 105742060 its reverse (60247501), we get a palindrome (165989561).

The spelling of 105742060 in words is "one hundred five million, seven hundred forty-two thousand, sixty".