105248191 has 8 divisors (see below), whose sum is σ = 106041600. Its totient is φ = 104458200.

The previous prime is 105248177. The next prime is 105248203. The reversal of 105248191 is 191842501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105248191 - 2⁷ = 105248063 is a prime.

It is a super-2 number, since 2×105248191² = 22154363417544962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105248141) 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, 99616 + ... + 100666.

It is an arithmetic number, because the mean of its divisors is an integer number (13255200).

Almost surely, 2^105248191 is an apocalyptic number.

105248191 is a deficient number, since it is larger than the sum of its proper divisors (793409).

105248191 is a wasteful number, since it uses less digits than its factorization.

105248191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105248191 is about 10259.0540986974. The cubic root of 105248191 is about 472.1408163946.

The spelling of 105248191 in words is "one hundred five million, two hundred forty-eight thousand, one hundred ninety-one".