105004010221 has 8 divisors (see below), whose sum is σ = 114731373888. Its totient is φ = 95306904000.

The previous prime is 105004010203. The next prime is 105004010239. The reversal of 105004010221 is 122010400501.

It is an interprime number because it is at equal distance from previous prime (105004010203) and next prime (105004010239).

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

It is not a de Polignac number, because 105004010221 - 2¹¹ = 105004008173 is a prime.

It is a super-2 number, since 2×105004010221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105004010195 and 105004010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7557100 + ... + 7570981.

It is an arithmetic number, because the mean of its divisors is an integer number (14341421736).

Almost surely, 2^105004010221 is an apocalyptic number.

105004010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105004010221 is a deficient number, since it is larger than the sum of its proper divisors (9727363667).

105004010221 is a wasteful number, since it uses less digits than its factorization.

105004010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128723.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 105004010221 its reverse (122010400501), we get a palindrome (227014410722).

The spelling of 105004010221 in words is "one hundred five billion, four million, ten thousand, two hundred twenty-one".