105727113 has 24 divisors (see below), whose sum is σ = 165267648. Its totient is φ = 67416624.

The previous prime is 105727099. The next prime is 105727117. The reversal of 105727113 is 311727501.

It is a happy number.

105727113 is a `hidden beast` number, since 10 + 572 + 71 + 13 = 666.

It is not a de Polignac number, because 105727113 - 2⁸ = 105726857 is a prime.

It is a super-2 number, since 2×105727113² = 22356444846629538, 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 (105727117) 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 23 ways as a sum of consecutive naturals, for example, 3870 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (6886152).

Almost surely, 2^105727113 is an apocalyptic number.

It is an amenable number.

105727113 is a deficient number, since it is larger than the sum of its proper divisors (59540535).

105727113 is an equidigital number, since it uses as much as digits as its factorization.

105727113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 105727113 is about 10282.3690363651. The cubic root of 105727113 is about 472.8558770184.

The spelling of 105727113 in words is "one hundred five million, seven hundred twenty-seven thousand, one hundred thirteen".