105401146241 has 2 divisors, whose sum is σ = 105401146242. Its totient is φ = 105401146240.

The previous prime is 105401146211. The next prime is 105401146267. The reversal of 105401146241 is 142641104501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105339193600 + 61952641 = 324560^2 + 7871^2 .

It is a cyclic number.

It is not a de Polignac number, because 105401146241 - 2¹⁰ = 105401145217 is a prime.

It is a super-2 number, since 2×105401146241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105401146211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700573120 + 52700573121.

It is an arithmetic number, because the mean of its divisors is an integer number (52700573121).

Almost surely, 2^105401146241 is an apocalyptic number.

It is an amenable number.

105401146241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105401146241 is an equidigital number, since it uses as much as digits as its factorization.

105401146241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 105401146241 in words is "one hundred five billion, four hundred one million, one hundred forty-six thousand, two hundred forty-one".