105623742 has 32 divisors (see below), whose sum is σ = 249753600. Its totient is φ = 29137248.

The previous prime is 105623729. The next prime is 105623743. The reversal of 105623742 is 247326501.

It is a super-2 number, since 2×105623742² = 22312749748165128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105623743) 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, 42142 + ... + 44577.

It is an arithmetic number, because the mean of its divisors is an integer number (7804800).

Almost surely, 2^105623742 is an apocalyptic number.

105623742 is an abundant number, since it is smaller than the sum of its proper divisors (144129858).

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

105623742 is a wasteful number, since it uses less digits than its factorization.

105623742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86760.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 105623742 is about 10277.3411931297. The cubic root of 105623742 is about 472.7017206491.

The spelling of 105623742 in words is "one hundred five million, six hundred twenty-three thousand, seven hundred forty-two".