105533510112 has 144 divisors (see below), whose sum is σ = 323760855600. Its totient is φ = 32483782656.

The previous prime is 105533510083. The next prime is 105533510113. The reversal of 105533510112 is 211015335501.

105533510112 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 33 + 510 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105533510112² (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 (105533510113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56139 + ... + 462837.

It is an arithmetic number, because the mean of its divisors is an integer number (2248339275).

Almost surely, 2^105533510112 is an apocalyptic number.

105533510112 is a gapful number since it is divisible by the number (12) 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 105533510112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161880427800).

105533510112 is an abundant number, since it is smaller than the sum of its proper divisors (218227345488).

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

105533510112 is a wasteful number, since it uses less digits than its factorization.

105533510112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406785 (or 406774 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 105533510112 its reverse (211015335501), we get a palindrome (316548845613).

The spelling of 105533510112 in words is "one hundred five billion, five hundred thirty-three million, five hundred ten thousand, one hundred twelve".