105072187 has 4 divisors (see below), whose sum is σ = 114624216. Its totient is φ = 95520160.

The previous prime is 105072179. The next prime is 105072221. The reversal of 105072187 is 781270501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105072187 - 2³ = 105072179 is a prime.

It is a super-2 number, since 2×105072187² = 22080328961925938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105072157) 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 3 ways as a sum of consecutive naturals, for example, 4775998 + ... + 4776019.

It is an arithmetic number, because the mean of its divisors is an integer number (28656054).

Almost surely, 2^105072187 is an apocalyptic number.

105072187 is a deficient number, since it is larger than the sum of its proper divisors (9552029).

105072187 is an equidigital number, since it uses as much as digits as its factorization.

105072187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552028.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 105072187 is about 10250.4725256936. The cubic root of 105072187 is about 471.8774863369.

It can be divided in two parts, 1050 and 72187, that added together give a palindrome (73237).

The spelling of 105072187 in words is "one hundred five million, seventy-two thousand, one hundred eighty-seven".