105111640320 has 144 divisors (see below), whose sum is σ = 335829134592. Its totient is φ = 28019015680.

The previous prime is 105111640279. The next prime is 105111640321. The reversal of 105111640320 is 23046111501.

It is a happy number.

It is a super-2 number, since 2×105111640320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105111640321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18402265 + ... + 18407975.

It is an arithmetic number, because the mean of its divisors is an integer number (2332146768).

Almost surely, 2^105111640320 is an apocalyptic number.

105111640320 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 105111640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167914567296).

105111640320 is an abundant number, since it is smaller than the sum of its proper divisors (230717494272).

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

105111640320 is an equidigital number, since it uses as much as digits as its factorization.

105111640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105111640320 its reverse (23046111501), we get a palindrome (128157751821).

The spelling of 105111640320 in words is "one hundred five billion, one hundred eleven million, six hundred forty thousand, three hundred twenty".