105512663201 has 24 divisors (see below), whose sum is σ = 116806132800. Its totient is φ = 95236336800.

The previous prime is 105512663177. The next prime is 105512663227. The reversal of 105512663201 is 102366215501.

It is a de Polignac number, because none of the positive numbers 2^k-105512663201 is a prime.

It is a super-2 number, since 2×105512663201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105512663401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15352796 + ... + 15359666.

It is an arithmetic number, because the mean of its divisors is an integer number (4866922200).

Almost surely, 2^105512663201 is an apocalyptic number.

105512663201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105512663201 is a deficient number, since it is larger than the sum of its proper divisors (11293469599).

105512663201 is a wasteful number, since it uses less digits than its factorization.

105512663201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 105512663201 its reverse (102366215501), we get a palindrome (207878878702).

The spelling of 105512663201 in words is "one hundred five billion, five hundred twelve million, six hundred sixty-three thousand, two hundred one".