105061001 has 2 divisors, whose sum is σ = 105061002. Its totient is φ = 105061000.

The previous prime is 105060961. The next prime is 105061031. The reversal of 105061001 is 100160501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104857600 + 203401 = 10240^2 + 451^2 .

It is a cyclic number.

It is not a de Polignac number, because 105061001 - 2¹⁸ = 104798857 is a prime.

It is a super-2 number, since 2×105061001² = 22075627862244002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105061031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530500 + 52530501.

It is an arithmetic number, because the mean of its divisors is an integer number (52530501).

Almost surely, 2^105061001 is an apocalyptic number.

It is an amenable number.

105061001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105061001 is an equidigital number, since it uses as much as digits as its factorization.

105061001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105061001 is about 10249.9268777880. The cubic root of 105061001 is about 471.8607403612.

The spelling of 105061001 in words is "one hundred five million, sixty-one thousand, one".