105121521 has 12 divisors (see below), whose sum is σ = 152480640. Its totient is φ = 69786360.

The previous prime is 105121517. The next prime is 105121529. The reversal of 105121521 is 125121501.

105121521 is a `hidden beast` number, since 1 + 0 + 512 + 152 + 1 = 666.

It is not a de Polignac number, because 105121521 - 2² = 105121517 is a prime.

It is a super-2 number, since 2×105121521² = 22101068354706882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105121494 and 105121503.

It is not an unprimeable number, because it can be changed into a prime (105121529) 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 11 ways as a sum of consecutive naturals, for example, 22285 + ... + 26586.

It is an arithmetic number, because the mean of its divisors is an integer number (12706720).

Almost surely, 2^105121521 is an apocalyptic number.

It is an amenable number.

105121521 is a deficient number, since it is larger than the sum of its proper divisors (47359119).

105121521 is a wasteful number, since it uses less digits than its factorization.

105121521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49116 (or 49113 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105121521 is about 10252.8786689398. The cubic root of 105121521 is about 471.9513275124.

The spelling of 105121521 in words is "one hundred five million, one hundred twenty-one thousand, five hundred twenty-one".