105553044032 has 112 divisors (see below), whose sum is σ = 222083327232. Its totient is φ = 49671874560.

The previous prime is 105553044017. The next prime is 105553044061. The reversal of 105553044032 is 230440355501.

It is a happy number.

It is a super-2 number, since 2×105553044032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105553044032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104197958 + ... + 104198970.

Almost surely, 2^105553044032 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 105553044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041663616).

105553044032 is an abundant number, since it is smaller than the sum of its proper divisors (116530283200).

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

105553044032 is a wasteful number, since it uses less digits than its factorization.

105553044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 105553044032 its reverse (230440355501), we get a palindrome (335993399533).

The spelling of 105553044032 in words is "one hundred five billion, five hundred fifty-three million, forty-four thousand, thirty-two".