105001065555 has 16 divisors (see below), whose sum is σ = 168541910784. Its totient is φ = 55820499680.

The previous prime is 105001065551. The next prime is 105001065577. The reversal of 105001065555 is 555560100501.

It is not a de Polignac number, because 105001065555 - 2² = 105001065551 is a prime.

It is a super-2 number, since 2×105001065555² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105001065551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11249469 + ... + 11258798.

It is an arithmetic number, because the mean of its divisors is an integer number (10533869424).

Almost surely, 2^105001065555 is an apocalyptic number.

105001065555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105001065555 is a deficient number, since it is larger than the sum of its proper divisors (63540845229).

105001065555 is a wasteful number, since it uses less digits than its factorization.

105001065555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508586.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105001065555 in words is "one hundred five billion, one million, sixty-five thousand, five hundred fifty-five".