105142221 has 6 divisors (see below), whose sum is σ = 151872110. Its totient is φ = 70094808.

The previous prime is 105142217. The next prime is 105142231. The reversal of 105142221 is 122241501.

It can be written as a sum of positive squares in only one way, i.e., 100280196 + 4862025 = 10014^2 + 2205^2 .

It is not a de Polignac number, because 105142221 - 2² = 105142217 is a prime.

It is a super-2 number, since 2×105142221² = 22109773273625682, 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 = 105142194 and 105142203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5841226 + ... + 5841243.

Almost surely, 2^105142221 is an apocalyptic number.

It is an amenable number.

105142221 is a deficient number, since it is larger than the sum of its proper divisors (46729889).

105142221 is a wasteful number, since it uses less digits than its factorization.

105142221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682475 (or 11682472 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105142221 is about 10253.8880918411. Note that the first 3 decimals coincide. The cubic root of 105142221 is about 471.9823035714.

Adding to 105142221 its reverse (122241501), we get a palindrome (227383722).

The spelling of 105142221 in words is "one hundred five million, one hundred forty-two thousand, two hundred twenty-one".