105236520849 has 48 divisors (see below), whose sum is σ = 162125743104. Its totient is φ = 65674627200.

The previous prime is 105236520839. The next prime is 105236520889. The reversal of 105236520849 is 948025632501.

105236520849 is a `hidden beast` number, since 1 + 0 + 52 + 36 + 520 + 8 + 49 = 666.

It is not a de Polignac number, because 105236520849 - 2⁴ = 105236520833 is a prime.

It is a super-2 number, since 2×105236520849² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105236520839) 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 47 ways as a sum of consecutive naturals, for example, 999759 + ... + 1099995.

It is an arithmetic number, because the mean of its divisors is an integer number (3377619648).

Almost surely, 2^105236520849 is an apocalyptic number.

It is an amenable number.

105236520849 is a deficient number, since it is larger than the sum of its proper divisors (56889222255).

105236520849 is a wasteful number, since it uses less digits than its factorization.

105236520849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100398 (or 100395 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 105236520849 in words is "one hundred five billion, two hundred thirty-six million, five hundred twenty thousand, eight hundred forty-nine".