105209742 has 24 divisors (see below), whose sum is σ = 231289128. Its totient is φ = 31881520.

The previous prime is 105209729. The next prime is 105209747. The reversal of 105209742 is 247902501.

It is a super-2 number, since 2×105209742² = 22138179623413128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105209747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71733 + ... + 73184.

It is an arithmetic number, because the mean of its divisors is an integer number (9637047).

Almost surely, 2^105209742 is an apocalyptic number.

105209742 is an abundant number, since it is smaller than the sum of its proper divisors (126079386).

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

105209742 is a wasteful number, since it uses less digits than its factorization.

105209742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144944 (or 144933 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105209742 is about 10257.1800218189. The cubic root of 105209742 is about 472.0833156335.

The spelling of 105209742 in words is "one hundred five million, two hundred nine thousand, seven hundred forty-two".