105525322140 has 96 divisors (see below), whose sum is σ = 344865798144. Its totient is φ = 23606876160.

The previous prime is 105525322139. The next prime is 105525322141. The reversal of 105525322140 is 41223525501.

It is an interprime number because it is at equal distance from previous prime (105525322139) and next prime (105525322141).

It is a super-2 number, since 2×105525322140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105525322098 and 105525322107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525322141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653141 + ... + 2692620.

It is an arithmetic number, because the mean of its divisors is an integer number (3592352064).

Almost surely, 2^105525322140 is an apocalyptic number.

105525322140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525322140 is an abundant number, since it is smaller than the sum of its proper divisors (239340476004).

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

105525322140 is a wasteful number, since it uses less digits than its factorization.

105525322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345827 (or 5345825 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105525322140 its reverse (41223525501), we get a palindrome (146748847641).

The spelling of 105525322140 in words is "one hundred five billion, five hundred twenty-five million, three hundred twenty-two thousand, one hundred forty".