105606105500 has 96 divisors (see below), whose sum is σ = 264191735808. Its totient is φ = 36125544000.

The previous prime is 105606105461. The next prime is 105606105529. The reversal of 105606105500 is 5501606501.

It is a super-3 number, since 3×105606105500³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516445 + ... + 1584555.

It is an arithmetic number, because the mean of its divisors is an integer number (2751997248).

Almost surely, 2^105606105500 is an apocalyptic number.

105606105500 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 105606105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132095867904).

105606105500 is an abundant number, since it is smaller than the sum of its proper divisors (158585630308).

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

105606105500 is a wasteful number, since it uses less digits than its factorization.

105606105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68580 (or 68568 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105606105500 in words is "one hundred five billion, six hundred six million, one hundred five thousand, five hundred".