105581201 has 8 divisors (see below), whose sum is σ = 120187584. Its totient is φ = 91809520.

The previous prime is 105581197. The next prime is 105581219. The reversal of 105581201 is 102185501.

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

It is not a de Polignac number, because 105581201 - 2² = 105581197 is a prime.

It is a super-2 number, since 2×105581201² = 22294780009204802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105581261) 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, 208406 + ... + 208911.

It is an arithmetic number, because the mean of its divisors is an integer number (15023448).

Almost surely, 2^105581201 is an apocalyptic number.

105581201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105581201 is a deficient number, since it is larger than the sum of its proper divisors (14606383).

105581201 is a wasteful number, since it uses less digits than its factorization.

105581201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417351.

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 105581201 is about 10275.2713346169. The cubic root of 105581201 is about 472.6382503729.

The spelling of 105581201 in words is "one hundred five million, five hundred eighty-one thousand, two hundred one".