10556121105 has 12 divisors (see below), whose sum is σ = 18297276660. Its totient is φ = 5629931232.

The previous prime is 10556121097. The next prime is 10556121143. The reversal of 10556121105 is 50112165501.

10556121105 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 2 + 1 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6644369169 + 3911751936 = 81513^2 + 62544^2 .

It is not a de Polignac number, because 10556121105 - 2³ = 10556121097 is a prime.

It is a super-2 number, since 2×10556121105² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117290190 + ... + 117290279.

It is an arithmetic number, because the mean of its divisors is an integer number (1524773055).

Almost surely, 2^10556121105 is an apocalyptic number.

10556121105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10556121105 is a deficient number, since it is larger than the sum of its proper divisors (7741155555).

10556121105 is a wasteful number, since it uses less digits than its factorization.

10556121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234580480 (or 234580477 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 10556121105 its reverse (50112165501), we get a palindrome (60668286606).

The spelling of 10556121105 in words is "ten billion, five hundred fifty-six million, one hundred twenty-one thousand, one hundred five".