105536144020 has 96 divisors (see below), whose sum is σ = 232858644480. Its totient is φ = 40125496320.

The previous prime is 105536144009. The next prime is 105536144059. The reversal of 105536144020 is 20441635501.

It is a happy number.

It is a super-2 number, since 2×105536144020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9643992 + ... + 9654928.

It is an arithmetic number, because the mean of its divisors is an integer number (2425610880).

Almost surely, 2^105536144020 is an apocalyptic number.

105536144020 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 105536144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116429322240).

105536144020 is an abundant number, since it is smaller than the sum of its proper divisors (127322500460).

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

105536144020 is a wasteful number, since it uses less digits than its factorization.

105536144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 105536144020 its reverse (20441635501), we get a palindrome (125977779521).

The spelling of 105536144020 in words is "one hundred five billion, five hundred thirty-six million, one hundred forty-four thousand, twenty".