105506088 has 64 divisors (see below), whose sum is σ = 282273600. Its totient is φ = 32762880.

The previous prime is 105506087. The next prime is 105506099. The reversal of 105506088 is 880605501.

It is a super-3 number, since 3×105506088³ (a number of 25 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 (105506087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25920 + ... + 29712.

It is an arithmetic number, because the mean of its divisors is an integer number (4410525).

Almost surely, 2^105506088 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 105506088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141136800).

105506088 is an abundant number, since it is smaller than the sum of its proper divisors (176767512).

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

105506088 is a wasteful number, since it uses less digits than its factorization.

105506088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 105506088 is about 10271.6156470148. The cubic root of 105506088 is about 472.5261417187.

The spelling of 105506088 in words is "one hundred five million, five hundred six thousand, eighty-eight".