105064201 has 8 divisors (see below), whose sum is σ = 117713664. Its totient is φ = 92931120.

The previous prime is 105064189. The next prime is 105064213. The reversal of 105064201 is 102460501.

It is an interprime number because it is at equal distance from previous prime (105064189) and next prime (105064213).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105064201 - 2²¹ = 102967049 is a prime.

It is a super-2 number, since 2×105064201² = 22076972663536802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105064231) 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 in 7 ways as a sum of consecutive naturals, for example, 128665 + ... + 129478.

It is an arithmetic number, because the mean of its divisors is an integer number (14714208).

Almost surely, 2^105064201 is an apocalyptic number.

105064201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105064201 is a deficient number, since it is larger than the sum of its proper divisors (12649463).

105064201 is a wasteful number, since it uses less digits than its factorization.

105064201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258191.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105064201 is about 10250.0829752739. The cubic root of 105064201 is about 471.8655310352.

The spelling of 105064201 in words is "one hundred five million, sixty-four thousand, two hundred one".