105000601 has 2 divisors, whose sum is σ = 105000602. Its totient is φ = 105000600.

The previous prime is 105000583. The next prime is 105000611. The reversal of 105000601 is 106000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58064400 + 46936201 = 7620^2 + 6851^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000601 - 2¹³ = 104992409 is a prime.

It is a super-2 number, since 2×105000601² = 22050252420722402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105000611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500300 + 52500301.

It is an arithmetic number, because the mean of its divisors is an integer number (52500301).

Almost surely, 2^105000601 is an apocalyptic number.

It is an amenable number.

105000601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000601 is an equidigital number, since it uses as much as digits as its factorization.

105000601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105000601 is about 10246.9800917148. The cubic root of 105000601 is about 471.7702981360.

The spelling of 105000601 in words is "one hundred five million, six hundred one", and thus it is an aban number.