105325034120 has 128 divisors (see below), whose sum is σ = 243333158400. Its totient is φ = 41019264000.

The previous prime is 105325034081. The next prime is 105325034123. The reversal of 105325034120 is 21430523501.

It is a happy number.

It is a super-2 number, since 2×105325034120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105325034120.

It is not an unprimeable number, because it can be changed into a prime (105325034123) by changing a digit.

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, 105641462 + ... + 105642458.

It is an arithmetic number, because the mean of its divisors is an integer number (1901040300).

Almost surely, 2^105325034120 is an apocalyptic number.

105325034120 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 105325034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121666579200).

105325034120 is an abundant number, since it is smaller than the sum of its proper divisors (138008124280).

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

105325034120 is a wasteful number, since it uses less digits than its factorization.

105325034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 105325034120 its reverse (21430523501), we get a palindrome (126755557621).

The spelling of 105325034120 in words is "one hundred five billion, three hundred twenty-five million, thirty-four thousand, one hundred twenty".