105553328056 has 64 divisors (see below), whose sum is σ = 223361076960. Its totient is φ = 46344960000.

The previous prime is 105553328053. The next prime is 105553328093. The reversal of 105553328056 is 650823355501.

It is a super-2 number, since 2×105553328056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105553328053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219580 + ... + 509236.

Almost surely, 2^105553328056 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 105553328056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111680538480).

105553328056 is an abundant number, since it is smaller than the sum of its proper divisors (117807748904).

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

105553328056 is a wasteful number, since it uses less digits than its factorization.

105553328056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289816 (or 289812 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 105553328056 in words is "one hundred five billion, five hundred fifty-three million, three hundred twenty-eight thousand, fifty-six".