105232021 has 2 divisors, whose sum is σ = 105232022. Its totient is φ = 105232020.

The previous prime is 105232007. The next prime is 105232037. The reversal of 105232021 is 120232501.

It is an a-pointer prime, because the next prime (105232037) can be obtained adding 105232021 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 579121 = 10230^2 + 761^2 .

It is a cyclic number.

It is not a de Polignac number, because 105232021 - 2¹⁵ = 105199253 is a prime.

It is a super-2 number, since 2×105232021² = 22147556487488882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105231986 and 105232004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105233021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52616010 + 52616011.

It is an arithmetic number, because the mean of its divisors is an integer number (52616011).

Almost surely, 2^105232021 is an apocalyptic number.

It is an amenable number.

105232021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105232021 is an equidigital number, since it uses as much as digits as its factorization.

105232021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105232021 is about 10258.2659840735. The cubic root of 105232021 is about 472.1166357478.

Adding to 105232021 its reverse (120232501), we get a palindrome (225464522).

It can be divided in two parts, 10523 and 2021, that added together give a square (12544 = 112²).

The spelling of 105232021 in words is "one hundred five million, two hundred thirty-two thousand, twenty-one".