105116606464321 has 3 divisors (see below), whose sum is σ = 105116616716961. Its totient is φ = 105116596211682.

The previous prime is 105116606464291. The next prime is 105116606464379. The reversal of 105116606464321 is 123464606611501.

The square root of 105116606464321 is 10252639.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 105116606464321 - 2³¹ = 105114458980673 is a prime.

It is a super-2 number, since 2×105116606464321² (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 (105116606404321) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5126320 + ... + 15378958.

It is an arithmetic number, because the mean of its divisors is an integer number (35038872238987).

Almost surely, 2^{105116606464321} is an apocalyptic number.

105116606464321 is the 10252639-th square number.

105116606464321 is the 5126320-th centered octagonal number.

It is an amenable number.

105116606464321 is a deficient number, since it is larger than the sum of its proper divisors (10252640).

105116606464321 is an frugal number, since it uses more digits than its factorization.

105116606464321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20505278 (or 10252639 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 105116606464321 in words is "one hundred five trillion, one hundred sixteen billion, six hundred six million, four hundred sixty-four thousand, three hundred twenty-one".