105057121 has 8 divisors (see below), whose sum is σ = 113319360. Its totient is φ = 96820752.

The previous prime is 105057119. The next prime is 105057131. The reversal of 105057121 is 121750501.

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 105057121 - 2¹ = 105057119 is a prime.

It is a super-2 number, since 2×105057121² = 22073997345617282, 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 = 105057092 and 105057101.

It is not an unprimeable number, because it can be changed into a prime (105057131) 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, 2436 + ... + 14698.

It is an arithmetic number, because the mean of its divisors is an integer number (14164920).

Almost surely, 2^105057121 is an apocalyptic number.

It is an amenable number.

105057121 is a deficient number, since it is larger than the sum of its proper divisors (8262239).

105057121 is a wasteful number, since it uses less digits than its factorization.

105057121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935.

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 105057121 is about 10249.7376063975. The cubic root of 105057121 is about 471.8549315384.

The spelling of 105057121 in words is "one hundred five million, fifty-seven thousand, one hundred twenty-one".