105906847949 has 12 divisors (see below), whose sum is σ = 126527656416. Its totient is φ = 86830456152.

The previous prime is 105906847931. The next prime is 105906847987. The reversal of 105906847949 is 949748609501.

It is not a de Polignac number, because 105906847949 - 2³² = 101611880653 is a prime.

It is a super-2 number, since 2×105906847949² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105906847891 and 105906847900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105906807949) 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, 14296439 + ... + 14303844.

It is an arithmetic number, because the mean of its divisors is an integer number (10543971368).

Almost surely, 2^105906847949 is an apocalyptic number.

It is an amenable number.

105906847949 is a deficient number, since it is larger than the sum of its proper divisors (20620808467).

105906847949 is an equidigital number, since it uses as much as digits as its factorization.

105906847949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28600336 (or 28600313 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 62.

The spelling of 105906847949 in words is "one hundred five billion, nine hundred six million, eight hundred forty-seven thousand, nine hundred forty-nine".