105072211 has 8 divisors (see below), whose sum is σ = 109912320. Its totient is φ = 100254792.

The previous prime is 105072179. The next prime is 105072221. The reversal of 105072211 is 112270501.

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

It is not a de Polignac number, because 105072211 - 2⁵ = 105072179 is a prime.

It is a super-2 number, since 2×105072211² = 22080339048857042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105072221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4186 + ... + 15088.

It is an arithmetic number, because the mean of its divisors is an integer number (13739040).

Almost surely, 2^105072211 is an apocalyptic number.

105072211 is a deficient number, since it is larger than the sum of its proper divisors (4840109).

105072211 is a wasteful number, since it uses less digits than its factorization.

105072211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105072211 is about 10250.4736963713. The cubic root of 105072211 is about 471.8775222648.

The spelling of 105072211 in words is "one hundred five million, seventy-two thousand, two hundred eleven".