105111023232 has 32 divisors (see below), whose sum is σ = 279201156480. Its totient is φ = 35037007616.

The previous prime is 105111023231. The next prime is 105111023249. The reversal of 105111023232 is 232320111501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×105111023232³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105111023199 and 105111023208.

It is not an unprimeable number, because it can be changed into a prime (105111023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136862928 + ... + 136863695.

It is an arithmetic number, because the mean of its divisors is an integer number (8725036140).

Almost surely, 2^105111023232 is an apocalyptic number.

105111023232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105111023232 is an abundant number, since it is smaller than the sum of its proper divisors (174090133248).

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

105111023232 is an equidigital number, since it uses as much as digits as its factorization.

105111023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273726640 (or 273726628 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 105111023232 its reverse (232320111501), we get a palindrome (337431134733).

The spelling of 105111023232 in words is "one hundred five billion, one hundred eleven million, twenty-three thousand, two hundred thirty-two".