105055813764 has 144 divisors (see below), whose sum is σ = 307350650880. Its totient is φ = 29921814720.

The previous prime is 105055813757. The next prime is 105055813813. The reversal of 105055813764 is 467318550501.

105055813764 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 581 + 3 + 7 + 64 = 666.

It is a super-2 number, since 2×105055813764² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900577 + ... + 1010519.

It is an arithmetic number, because the mean of its divisors is an integer number (2134379520).

Almost surely, 2^105055813764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105055813764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153675325440).

105055813764 is an abundant number, since it is smaller than the sum of its proper divisors (202294837116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105055813764 is a wasteful number, since it uses less digits than its factorization.

105055813764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110110 (or 110105 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

It can be divided in two parts, 105055 and 813764, that added together give a palindrome (918819).

The spelling of 105055813764 in words is "one hundred five billion, fifty-five million, eight hundred thirteen thousand, seven hundred sixty-four".