105215066121 has 48 divisors (see below), whose sum is σ = 167551569920. Its totient is φ = 58461717600.

The previous prime is 105215066081. The next prime is 105215066137. The reversal of 105215066121 is 121660512501.

It is not a de Polignac number, because 105215066121 - 2⁶ = 105215066057 is a prime.

It is a super-2 number, since 2×105215066121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105215064121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32245 + ... + 459858.

Almost surely, 2^105215066121 is an apocalyptic number.

105215066121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105215066121 is a deficient number, since it is larger than the sum of its proper divisors (62336503799).

105215066121 is a wasteful number, since it uses less digits than its factorization.

105215066121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492178 (or 492167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 105215066121 its reverse (121660512501), we get a palindrome (226875578622).

The spelling of 105215066121 in words is "one hundred five billion, two hundred fifteen million, sixty-six thousand, one hundred twenty-one".