105121413 has 12 divisors (see below), whose sum is σ = 151944000. Its totient is φ = 70033896.

The previous prime is 105121411. The next prime is 105121427. The reversal of 105121413 is 314121501.

105121413 is a `hidden beast` number, since 10 + 512 + 141 + 3 = 666.

It is not a de Polignac number, because 105121413 - 2¹ = 105121411 is a prime.

It is a super-2 number, since 2×105121413² = 22101022942233138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15070 + ... + 20912.

It is an arithmetic number, because the mean of its divisors is an integer number (12662000).

Almost surely, 2^105121413 is an apocalyptic number.

It is an amenable number.

105121413 is a deficient number, since it is larger than the sum of its proper divisors (46822587).

105121413 is a wasteful number, since it uses less digits than its factorization.

105121413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105121413 is about 10252.8734021249. The cubic root of 105121413 is about 471.9511658876.

Adding to 105121413 its reverse (314121501), we get a palindrome (419242914).

The spelling of 105121413 in words is "one hundred five million, one hundred twenty-one thousand, four hundred thirteen".