105803060553081 has 48 divisors (see below), whose sum is σ = 155896038110592. Its totient is φ = 69133316832000.

The previous prime is 105803060553041. The next prime is 105803060553101. The reversal of 105803060553081 is 180355060308501.

105803060553081 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 0 + 3 + 0 + 605 + 5 + 30 + 8 + 1 = 666.

It is not a de Polignac number, because 105803060553081 - 2⁷ = 105803060552953 is a prime.

It is a super-2 number, since 2×105803060553081² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105803060553041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253801786 + ... + 254218316.

It is an arithmetic number, because the mean of its divisors is an integer number (3247834127304).

Almost surely, 2^{105803060553081} is an apocalyptic number.

It is an amenable number.

105803060553081 is a deficient number, since it is larger than the sum of its proper divisors (50092977557511).

105803060553081 is a wasteful number, since it uses less digits than its factorization.

105803060553081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419454 (or 419451 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105803060553081 in words is "one hundred five trillion, eight hundred three billion, sixty million, five hundred fifty-three thousand, eighty-one".