105164463280121 has 12 divisors (see below), whose sum is σ = 122667507209088. Its totient is φ = 89895352792392.

The previous prime is 105164463280049. The next prime is 105164463280139. The reversal of 105164463280121 is 121082364461501.

It is not a de Polignac number, because 105164463280121 - 2¹⁰ = 105164463279097 is a prime.

It is a super-2 number, since 2×105164463280121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105164433280121) 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, 2923978661 + ... + 2924014626.

It is an arithmetic number, because the mean of its divisors is an integer number (10222292267424).

Almost surely, 2^{105164463280121} is an apocalyptic number.

It is an amenable number.

105164463280121 is a deficient number, since it is larger than the sum of its proper divisors (17503043928967).

105164463280121 is an equidigital number, since it uses as much as digits as its factorization.

105164463280121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847993668 (or 5847993661 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 105164463280121 in words is "one hundred five trillion, one hundred sixty-four billion, four hundred sixty-three million, two hundred eighty thousand, one hundred twenty-one".