105123061 has 2 divisors, whose sum is σ = 105123062. Its totient is φ = 105123060.

The previous prime is 105123049. The next prime is 105123079. The reversal of 105123061 is 160321501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98903025 + 6220036 = 9945^2 + 2494^2 .

It is a cyclic number.

It is not a de Polignac number, because 105123061 - 2¹³ = 105114869 is a prime.

It is a super-2 number, since 2×105123061² = 22101715908019442, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105123001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561530 + 52561531.

It is an arithmetic number, because the mean of its divisors is an integer number (52561531).

Almost surely, 2^105123061 is an apocalyptic number.

It is an amenable number.

105123061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123061 is an equidigital number, since it uses as much as digits as its factorization.

105123061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105123061 is about 10252.9537695242. The cubic root of 105123061 is about 471.9536321515.

Adding to 105123061 its reverse (160321501), we get a palindrome (265444562).

The spelling of 105123061 in words is "one hundred five million, one hundred twenty-three thousand, sixty-one".