105535533400 has 144 divisors (see below), whose sum is σ = 274374034920. Its totient is φ = 37439232000.

The previous prime is 105535533391. The next prime is 105535533403. The reversal of 105535533400 is 4335535501.

It is a super-2 number, since 2×105535533400² (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 (105535533403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3683932 + ... + 3712468.

Almost surely, 2^105535533400 is an apocalyptic number.

105535533400 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 105535533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137187017460).

105535533400 is an abundant number, since it is smaller than the sum of its proper divisors (168838501520).

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

105535533400 is a wasteful number, since it uses less digits than its factorization.

105535533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28646 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 105535533400 in words is "one hundred five billion, five hundred thirty-five million, five hundred thirty-three thousand, four hundred".