105111235008 has 560 divisors, whose sum is σ = 370829067840. Its totient is φ = 29108699136.

The previous prime is 105111235003. The next prime is 105111235043. The reversal of 105111235008 is 800532111501.

It is a super-2 number, since 2×105111235008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111235003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26348278 + ... + 26352266.

It is an arithmetic number, because the mean of its divisors is an integer number (662194764).

Almost surely, 2^105111235008 is an apocalyptic number.

105111235008 is a gapful number since it is divisible by the number (18) 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 105111235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185414533920).

105111235008 is an abundant number, since it is smaller than the sum of its proper divisors (265717832832).

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

105111235008 is a wasteful number, since it uses less digits than its factorization.

105111235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105111235008 its reverse (800532111501), we get a palindrome (905643346509).

The spelling of 105111235008 in words is "one hundred five billion, one hundred eleven million, two hundred thirty-five thousand, eight".