105700001 has 8 divisors (see below), whose sum is σ = 115385664. Its totient is φ = 96027120.

The previous prime is 105699961. The next prime is 105700013. The reversal of 105700001 is 100007501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105700001 is a prime.

It is a super-2 number, since 2×105700001² = 22344980422800002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105700031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24836 + ... + 28778.

It is an arithmetic number, because the mean of its divisors is an integer number (14423208).

Almost surely, 2^105700001 is an apocalyptic number.

105700001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105700001 is a deficient number, since it is larger than the sum of its proper divisors (9685663).

105700001 is a wasteful number, since it uses less digits than its factorization.

105700001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105700001 is about 10281.0505786131. The cubic root of 105700001 is about 472.8154548278.

Adding to 105700001 its reverse (100007501), we get a palindrome (205707502).

The spelling of 105700001 in words is "one hundred five million, seven hundred thousand, one".