105055015663 has 32 divisors (see below), whose sum is σ = 120895971840. Its totient is φ = 90547269120.

The previous prime is 105055015649. The next prime is 105055015679. The reversal of 105055015663 is 366510550501.

It is a cyclic number.

It is not a de Polignac number, because 105055015663 - 2²⁵ = 105021461231 is a prime.

It is a super-2 number, since 2×105055015663² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055015603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27263845 + ... + 27267697.

It is an arithmetic number, because the mean of its divisors is an integer number (3777999120).

Almost surely, 2^105055015663 is an apocalyptic number.

105055015663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105055015663 is a deficient number, since it is larger than the sum of its proper divisors (15840956177).

105055015663 is a wasteful number, since it uses less digits than its factorization.

105055015663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 105055015663 in words is "one hundred five billion, fifty-five million, fifteen thousand, six hundred sixty-three".