105606055600 has 60 divisors (see below), whose sum is σ = 254068242064. Its totient is φ = 42184200960.

The previous prime is 105606055579. The next prime is 105606055601. The reversal of 105606055600 is 6550606501.

It is a super-3 number, since 3×105606055600³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606055601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109222 + ... + 472378.

Almost surely, 2^105606055600 is an apocalyptic number.

105606055600 is a gapful number since it is divisible by the number (10) 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 105606055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127034121032).

105606055600 is an abundant number, since it is smaller than the sum of its proper divisors (148462186464).

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

105606055600 is a wasteful number, since it uses less digits than its factorization.

105606055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363902 (or 363891 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105606055600 in words is "one hundred five billion, six hundred six million, fifty-five thousand, six hundred".