105663441013551 has 12 divisors (see below), whose sum is σ = 154106766182928. Its totient is φ = 69758388241344.

The previous prime is 105663441013547. The next prime is 105663441013561. The reversal of 105663441013551 is 155310144366501.

105663441013551 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 634 + 4 + 1 + 0 + 1 + 3 + 5 + 5 + 1 = 666.

It is not a de Polignac number, because 105663441013551 - 2² = 105663441013547 is a prime.

It is a super-2 number, since 2×105663441013551² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105663441013497 and 105663441013506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105663441013561) 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, 56992146330 + ... + 56992148183.

It is an arithmetic number, because the mean of its divisors is an integer number (12842230515244).

Almost surely, 2^{105663441013551} is an apocalyptic number.

105663441013551 is a deficient number, since it is larger than the sum of its proper divisors (48443325169377).

105663441013551 is a wasteful number, since it uses less digits than its factorization.

105663441013551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113984294622 (or 113984294619 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 105663441013551 in words is "one hundred five trillion, six hundred sixty-three billion, four hundred forty-one million, thirteen thousand, five hundred fifty-one".