105551100606 has 96 divisors (see below), whose sum is σ = 251477360640. Its totient is φ = 29435241024.

The previous prime is 105551100553. The next prime is 105551100643. The reversal of 105551100606 is 606001155501.

It is a super-2 number, since 2×105551100606² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5143875 + ... + 5164353.

It is an arithmetic number, because the mean of its divisors is an integer number (2619555840).

Almost surely, 2^105551100606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105551100606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125738680320).

105551100606 is an abundant number, since it is smaller than the sum of its proper divisors (145926260034).

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

105551100606 is a wasteful number, since it uses less digits than its factorization.

105551100606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20918 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105551100606 in words is "one hundred five billion, five hundred fifty-one million, one hundred thousand, six hundred six".