105724121 has 2 divisors, whose sum is σ = 105724122. Its totient is φ = 105724120.

The previous prime is 105724109. The next prime is 105724141. The reversal of 105724121 is 121427501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89208025 + 16516096 = 9445^2 + 4064^2 .

It is a cyclic number.

It is not a de Polignac number, because 105724121 - 2¹⁸ = 105461977 is a prime.

It is a super-2 number, since 2×105724121² = 22355179522445282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105724141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52862060 + 52862061.

It is an arithmetic number, because the mean of its divisors is an integer number (52862061).

Almost surely, 2^105724121 is an apocalyptic number.

It is an amenable number.

105724121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105724121 is an equidigital number, since it uses as much as digits as its factorization.

105724121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105724121 is about 10282.2235435727. The cubic root of 105724121 is about 472.8514164844.

The spelling of 105724121 in words is "one hundred five million, seven hundred twenty-four thousand, one hundred twenty-one".