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105122227 = 716998839
BaseRepresentation
bin1100100010000…
…00100110110011
321022210202120211
412101000212303
5203402402402
614233044551
72414344540
oct621004663
9238722524
10105122227
115437a981
122b256757
1318a18102
14dd65bc7
1593674d7
hex64409b3

105122227 has 8 divisors (see below), whose sum is σ = 120224000. Its totient is φ = 90041544.

The previous prime is 105122201. The next prime is 105122249. The reversal of 105122227 is 722221501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105122227 is a prime.

It is a super-2 number, since 2×1051222272 = 22101365218879058, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105122198 and 105122207.

It is not an unprimeable number, because it can be changed into a prime (105122287) 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, 7474 + ... + 16312.

It is an arithmetic number, because the mean of its divisors is an integer number (15028000).

Almost surely, 2105122227 is an apocalyptic number.

105122227 is a deficient number, since it is larger than the sum of its proper divisors (15101773).

105122227 is an equidigital number, since it uses as much as digits as its factorization.

105122227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 105122227 is about 10252.9130982370. The cubic root of 105122227 is about 471.9523840576.

Adding to 105122227 its reverse (722221501), we get a palindrome (827343728).

The spelling of 105122227 in words is "one hundred five million, one hundred twenty-two thousand, two hundred twenty-seven".

Divisors: 1 7 1699 8839 11893 61873 15017461 105122227