105556005500 has 96 divisors (see below), whose sum is σ = 251687374848. Its totient is φ = 38354184000.

The previous prime is 105556005493. The next prime is 105556005557. The reversal of 105556005500 is 5500655501.

105556005500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105556005500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7819757 + ... + 7833243.

It is an arithmetic number, because the mean of its divisors is an integer number (2621743488).

Almost surely, 2^105556005500 is an apocalyptic number.

105556005500 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 105556005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125843687424).

105556005500 is an abundant number, since it is smaller than the sum of its proper divisors (146131369348).

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

105556005500 is a wasteful number, since it uses less digits than its factorization.

105556005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 105556005500 in words is "one hundred five billion, five hundred fifty-six million, five thousand, five hundred".