105012939249 has 27 divisors (see below), whose sum is σ = 153244368459. Its totient is φ = 69296348880.

The previous prime is 105012939247. The next prime is 105012939253. The reversal of 105012939249 is 942939210501.

The square root of 105012939249 is 324057.

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

105012939249 is a `hidden beast` number, since 10 + 501 + 2 + 9 + 3 + 92 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73193514849 + 31819424400 = 270543^2 + 178380^2 .

It is not a de Polignac number, because 105012939249 - 2¹ = 105012939247 is a prime.

It is a super-2 number, since 2×105012939249² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012939247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105966144 + ... + 105967134.

Almost surely, 2^105012939249 is an apocalyptic number.

105012939249 is the 324057-th square number.

105012939249 is the 162029-th centered octagonal number.

It is an amenable number.

105012939249 is a deficient number, since it is larger than the sum of its proper divisors (48231429210).

105012939249 is an frugal number, since it uses more digits than its factorization.

105012939249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 105012939249 in words is "one hundred five billion, twelve million, nine hundred thirty-nine thousand, two hundred forty-nine".