105535775800 has 192 divisors, whose sum is σ = 303360583680. Its totient is φ = 33249277440.

The previous prime is 105535775791. The next prime is 105535775803. The reversal of 105535775800 is 8577535501.

It is a super-2 number, since 2×105535775800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535775803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045599 + ... + 4071601.

It is an arithmetic number, because the mean of its divisors is an integer number (1580003040).

Almost surely, 2^105535775800 is an apocalyptic number.

105535775800 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 105535775800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151680291840).

105535775800 is an abundant number, since it is smaller than the sum of its proper divisors (197824807880).

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

105535775800 is a wasteful number, since it uses less digits than its factorization.

105535775800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26262 (or 26253 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 46.

The spelling of 105535775800 in words is "one hundred five billion, five hundred thirty-five million, seven hundred seventy-five thousand, eight hundred".