105724141 has 2 divisors, whose sum is σ = 105724142. Its totient is φ = 105724140.

The previous prime is 105724121. The next prime is 105724211. The reversal of 105724141 is 141427501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77951241 + 27772900 = 8829^2 + 5270^2 .

It is an emirp because it is prime and its reverse (141427501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105724141 - 2⁵ = 105724109 is a prime.

It is a super-2 number, since 2×105724141² = 22355187980375762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105724121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52862070 + 52862071.

It is an arithmetic number, because the mean of its divisors is an integer number (52862071).

Almost surely, 2^105724141 is an apocalyptic number.

It is an amenable number.

105724141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105724141 is an equidigital number, since it uses as much as digits as its factorization.

105724141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 105724141 is about 10282.2245161249. The cubic root of 105724141 is about 472.8514463011.

The spelling of 105724141 in words is "one hundred five million, seven hundred twenty-four thousand, one hundred forty-one".