105337121 has 8 divisors (see below), whose sum is σ = 110983200. Its totient is φ = 99701280.

The previous prime is 105337103. The next prime is 105337123. The reversal of 105337121 is 121733501.

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

It is a cyclic number.

It is not a de Polignac number, because 105337121 - 2²² = 101142817 is a prime.

It is a super-3 number, since 3×105337121³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105337123) 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, 28085 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (13872900).

Almost surely, 2^105337121 is an apocalyptic number.

It is an amenable number.

105337121 is a deficient number, since it is larger than the sum of its proper divisors (5646079).

105337121 is a wasteful number, since it uses less digits than its factorization.

105337121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105337121 is about 10263.3874037766. The cubic root of 105337121 is about 472.2737582283.

The spelling of 105337121 in words is "one hundred five million, three hundred thirty-seven thousand, one hundred twenty-one".