105221337 has 8 divisors (see below), whose sum is σ = 151087104. Its totient is φ = 64751568.

The previous prime is 105221321. The next prime is 105221353. The reversal of 105221337 is 733122501.

It is an interprime number because it is at equal distance from previous prime (105221321) and next prime (105221353).

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

It is not a de Polignac number, because 105221337 - 2⁴ = 105221321 is a prime.

It is a super-2 number, since 2×105221337² = 22143059520135138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348953 + ... + 1349030.

It is an arithmetic number, because the mean of its divisors is an integer number (18885888).

Almost surely, 2^105221337 is an apocalyptic number.

It is an amenable number.

105221337 is a deficient number, since it is larger than the sum of its proper divisors (45865767).

105221337 is a wasteful number, since it uses less digits than its factorization.

105221337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697999.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105221337 is about 10257.7452200764. The cubic root of 105221337 is about 472.1006575160.

Adding to 105221337 its reverse (733122501), we get a palindrome (838343838).

The spelling of 105221337 in words is "one hundred five million, two hundred twenty-one thousand, three hundred thirty-seven".