105353742 has 32 divisors (see below), whose sum is σ = 228943008. Its totient is φ = 32126976.

The previous prime is 105353707. The next prime is 105353747. The reversal of 105353742 is 247353501.

It is a super-2 number, since 2×105353742² = 22198821906805128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (7154469).

Almost surely, 2^105353742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105353742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114471504).

105353742 is an abundant number, since it is smaller than the sum of its proper divisors (123589266).

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

105353742 is a wasteful number, since it uses less digits than its factorization.

105353742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 105353742 is about 10264.1970947561. The cubic root of 105353742 is about 472.2985967317.

The spelling of 105353742 in words is "one hundred five million, three hundred fifty-three thousand, seven hundred forty-two".