105023107288 has 128 divisors (see below), whose sum is σ = 229206827520. Its totient is φ = 44644469760.

The previous prime is 105023107223. The next prime is 105023107303. The reversal of 105023107288 is 882701320501.

It is a super-2 number, since 2×105023107288² (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, 18575470 + ... + 18581122.

It is an arithmetic number, because the mean of its divisors is an integer number (1790678340).

Almost surely, 2^105023107288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105023107288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114603413760).

105023107288 is an abundant number, since it is smaller than the sum of its proper divisors (124183720232).

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

105023107288 is a wasteful number, since it uses less digits than its factorization.

105023107288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

Adding to 105023107288 its reverse (882701320501), we get a palindrome (987724427789).

The spelling of 105023107288 in words is "one hundred five billion, twenty-three million, one hundred seven thousand, two hundred eighty-eight".