105234714 has 80 divisors (see below), whose sum is σ = 256864608. Its totient is φ = 32008608.

The previous prime is 105234713. The next prime is 105234719. The reversal of 105234714 is 417432501.

It is a super-2 number, since 2×105234714² = 22148690061323592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105234713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225109 + ... + 225575.

Almost surely, 2^105234714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105234714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304).

105234714 is an abundant number, since it is smaller than the sum of its proper divisors (151629894).

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

105234714 is a wasteful number, since it uses less digits than its factorization.

105234714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105234714 is about 10258.3972432344. The cubic root of 105234714 is about 472.1206630367.

The spelling of 105234714 in words is "one hundred five million, two hundred thirty-four thousand, seven hundred fourteen".