105525200000000 has 792 divisors, whose sum is σ = 297934300582560. Its totient is φ = 37004800000000.

The previous prime is 105525199999951. The next prime is 105525200000039. The reversal of 105525200000000 is 2525501.

It is a super-2 number, since 2×105525200000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127599999587 + ... + 127600000413.

Almost surely, 2^{105525200000000} is an apocalyptic number.

105525200000000 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 105525200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148967150291280).

105525200000000 is an abundant number, since it is smaller than the sum of its proper divisors (192409100582560).

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

105525200000000 is an frugal number, since it uses more digits than its factorization.

105525200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 105525200000000 its reverse (2525501), we get a palindrome (105525202525501).

The spelling of 105525200000000 in words is "one hundred five trillion, five hundred twenty-five billion, two hundred million", and thus it is an aban number.