105555005601056 has 96 divisors (see below), whose sum is σ = 229078116368640. Its totient is φ = 47479203820800.

The previous prime is 105555005601011. The next prime is 105555005601079. The reversal of 105555005601056 is 650106500555501.

It is a super-2 number, since 2×105555005601056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 105555005600998 and 105555005601016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11507291 + ... + 18534501.

It is an arithmetic number, because the mean of its divisors is an integer number (2386230378840).

Almost surely, 2^{105555005601056} is an apocalyptic number.

105555005601056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105555005601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114539058184320).

105555005601056 is an abundant number, since it is smaller than the sum of its proper divisors (123523110767584).

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

105555005601056 is a wasteful number, since it uses less digits than its factorization.

105555005601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027678 (or 7027670 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 105555005601056 in words is "one hundred five trillion, five hundred fifty-five billion, five million, six hundred one thousand, fifty-six".