10605505109949 has 24 divisors (see below), whose sum is σ = 16125577596960. Its totient is φ = 6698110659552.

The previous prime is 10605505109939. The next prime is 10605505109951. The reversal of 10605505109949 is 94990150550601.

10605505109949 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 505 + 1 + 0 + 99 + 49 = 666.

It is not a de Polignac number, because 10605505109949 - 2⁷ = 10605505109821 is a prime.

It is a super-2 number, since 2×10605505109949² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605505109895 and 10605505109904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605505109909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11548807 + ... + 12433259.

It is an arithmetic number, because the mean of its divisors is an integer number (671899066540).

Almost surely, 2^{10605505109949} is an apocalyptic number.

10605505109949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10605505109949 is a deficient number, since it is larger than the sum of its proper divisors (5520072487011).

10605505109949 is a wasteful number, since it uses less digits than its factorization.

10605505109949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954601 (or 954598 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 10605505109949 in words is "ten trillion, six hundred five billion, five hundred five million, one hundred nine thousand, nine hundred forty-nine".