105522797520 has 400 divisors, whose sum is σ = 424040925120. Its totient is φ = 24118311168.

The previous prime is 105522797503. The next prime is 105522797533. The reversal of 105522797520 is 25797225501.

105522797520 is a `hidden beast` number, since 1 + 0 + 5 + 52 + 2 + 79 + 7 + 520 = 666.

It is a super-2 number, since 2×105522797520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5175987 + ... + 5196333.

Almost surely, 2^105522797520 is an apocalyptic number.

105522797520 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 105522797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212020462560).

105522797520 is an abundant number, since it is smaller than the sum of its proper divisors (318518127600).

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

105522797520 is an equidigital number, since it uses as much as digits as its factorization.

105522797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20397 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 105522797520 in words is "one hundred five billion, five hundred twenty-two million, seven hundred ninety-seven thousand, five hundred twenty".