105525231320 has 64 divisors (see below), whose sum is σ = 253542355200. Its totient is φ = 39439895040.

The previous prime is 105525231283. The next prime is 105525231359. The reversal of 105525231320 is 23132525501.

It is a super-2 number, since 2×105525231320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431299 + ... + 1503218.

It is an arithmetic number, because the mean of its divisors is an integer number (3961599300).

Almost surely, 2^105525231320 is an apocalyptic number.

105525231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525231320 is an abundant number, since it is smaller than the sum of its proper divisors (148017123880).

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

105525231320 is a wasteful number, since it uses less digits than its factorization.

105525231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934588 (or 2934584 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 105525231320 its reverse (23132525501), we get a palindrome (128657756821).

The spelling of 105525231320 in words is "one hundred five billion, five hundred twenty-five million, two hundred thirty-one thousand, three hundred twenty".