105061301 has 2 divisors, whose sum is σ = 105061302. Its totient is φ = 105061300.

The previous prime is 105061291. The next prime is 105061349. The reversal of 105061301 is 103160501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97911025 + 7150276 = 9895^2 + 2674^2 .

It is a cyclic number.

It is not a de Polignac number, because 105061301 - 2⁶ = 105061237 is a prime.

It is a super-2 number, since 2×105061301² = 22075753935625202, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105061301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105061351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530650 + 52530651.

It is an arithmetic number, because the mean of its divisors is an integer number (52530651).

Almost surely, 2^105061301 is an apocalyptic number.

It is an amenable number.

105061301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105061301 is an equidigital number, since it uses as much as digits as its factorization.

105061301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105061301 is about 10249.9415120283. The cubic root of 105061301 is about 471.8611894910.

The spelling of 105061301 in words is "one hundred five million, sixty-one thousand, three hundred one".