105115048068969 has 9 divisors (see below), whose sum is σ = 151832891638519. Its totient is φ = 70076678207520.

The previous prime is 105115048068949. The next prime is 105115048068973. The reversal of 105115048068969 is 969860840511501.

The square root of 105115048068969 is 10252563.

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

105115048068969 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 5 + 0 + 480 + 68 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53473577628969 + 51641470440000 = 7312563^2 + 7186200^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 105115048068969 - 2⁷ = 105115048068841 is a prime.

It is a super-2 number, since 2×105115048068969² (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 (105115048068949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29048929 + ... + 32466449.

Almost surely, 2^{105115048068969} is an apocalyptic number.

105115048068969 is the 10252563-rd square number.

105115048068969 is the 5126282-nd centered octagonal number.

It is an amenable number.

105115048068969 is a deficient number, since it is larger than the sum of its proper divisors (46717843569550).

105115048068969 is an frugal number, since it uses more digits than its factorization.

105115048068969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835048 (or 3417524 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 105115048068969 in words is "one hundred five trillion, one hundred fifteen billion, forty-eight million, sixty-eight thousand, nine hundred sixty-nine".