105575001 has 16 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 57153168.

The previous prime is 105574999. The next prime is 105575003. The reversal of 105575001 is 100575501.

It is an interprime number because it is at equal distance from previous prime (105574999) and next prime (105575003).

It is not a de Polignac number, because 105575001 - 2¹ = 105574999 is a prime.

It is a super-2 number, since 2×105575001² = 22292161672300002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105575003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131901 + ... + 132698.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2^105575001 is an apocalyptic number.

It is an amenable number.

105575001 is a deficient number, since it is larger than the sum of its proper divisors (63768999).

105575001 is a wasteful number, since it uses less digits than its factorization.

105575001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264628.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105575001 is about 10274.9696349916. The cubic root of 105575001 is about 472.6289986801.

The spelling of 105575001 in words is "one hundred five million, five hundred seventy-five thousand, one".