105086121 has 32 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 58528704.

The previous prime is 105086081. The next prime is 105086141. The reversal of 105086121 is 121680501.

It is not a de Polignac number, because 105086121 - 2¹⁹ = 104561833 is a prime.

It is a super-2 number, since 2×105086121² = 22086185653653282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105086091 and 105086100.

It is not an unprimeable number, because it can be changed into a prime (105086141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292540 + ... + 292898.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2^105086121 is an apocalyptic number.

It is an amenable number.

105086121 is a deficient number, since it is larger than the sum of its proper divisors (59142999).

105086121 is a wasteful number, since it uses less digits than its factorization.

105086121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105086121 is about 10251.1521791455. The cubic root of 105086121 is about 471.8983445375.

The spelling of 105086121 in words is "one hundred five million, eighty-six thousand, one hundred twenty-one".