105505035200 has 84 divisors (see below), whose sum is σ = 259741275792. Its totient is φ = 42180403200.

The previous prime is 105505035199. The next prime is 105505035203. The reversal of 105505035200 is 2530505501.

It is a super-2 number, since 2×105505035200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505035200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505035203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3313757 + ... + 3345443.

Almost surely, 2^105505035200 is an apocalyptic number.

105505035200 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 105505035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129870637896).

105505035200 is an abundant number, since it is smaller than the sum of its proper divisors (154236240592).

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

105505035200 is a wasteful number, since it uses less digits than its factorization.

105505035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33790 (or 33775 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The spelling of 105505035200 in words is "one hundred five billion, five hundred five million, thirty-five thousand, two hundred".