105525342420 has 96 divisors (see below), whose sum is σ = 296626028160. Its totient is φ = 28030302720.

The previous prime is 105525342409. The next prime is 105525342443. The reversal of 105525342420 is 24243525501.

It is a happy number.

It is a super-2 number, since 2×105525342420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18664314 + ... + 18669966.

It is an arithmetic number, because the mean of its divisors is an integer number (3089854460).

Almost surely, 2^105525342420 is an apocalyptic number.

105525342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525342420 is an abundant number, since it is smaller than the sum of its proper divisors (191100685740).

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

105525342420 is a wasteful number, since it uses less digits than its factorization.

105525342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 105525342420 its reverse (24243525501), we get a palindrome (129768867921).

The spelling of 105525342420 in words is "one hundred five billion, five hundred twenty-five million, three hundred forty-two thousand, four hundred twenty".