105142716 has 72 divisors (see below), whose sum is σ = 305270784. Its totient is φ = 29890080.

The previous prime is 105142679. The next prime is 105142747. The reversal of 105142716 is 617241501.

It is a happy number.

It is a super-2 number, since 2×105142716² = 22109981455713312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105142716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55261 + ... + 57131.

It is an arithmetic number, because the mean of its divisors is an integer number (4239872).

Almost surely, 2^105142716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105142716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152635392).

105142716 is an abundant number, since it is smaller than the sum of its proper divisors (200128068).

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

105142716 is a wasteful number, since it uses less digits than its factorization.

105142716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105142716 is about 10253.9122289983. The cubic root of 105142716 is about 471.9830442535.

The spelling of 105142716 in words is "one hundred five million, one hundred forty-two thousand, seven hundred sixteen".