105117221 has 8 divisors (see below), whose sum is σ = 115500000. Its totient is φ = 94872240.

The previous prime is 105117217. The next prime is 105117269. The reversal of 105117221 is 122711501.

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 105117221 - 2² = 105117217 is a prime.

It is a super-2 number, since 2×105117221² = 22099260301525682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105117193 and 105117202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117281) 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, 32846 + ... + 35903.

It is an arithmetic number, because the mean of its divisors is an integer number (14437500).

Almost surely, 2^105117221 is an apocalyptic number.

105117221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105117221 is a deficient number, since it is larger than the sum of its proper divisors (10382779).

105117221 is a wasteful number, since it uses less digits than its factorization.

105117221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68899.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 105117221 is about 10252.6689695903. The cubic root of 105117221 is about 471.9448923621.

Adding to 105117221 its reverse (122711501), we get a palindrome (227828722).

The spelling of 105117221 in words is "one hundred five million, one hundred seventeen thousand, two hundred twenty-one".