105325636234420 has 96 divisors (see below), whose sum is σ = 254832517723392. Its totient is φ = 35819445362688.

The previous prime is 105325636234363. The next prime is 105325636234421. The reversal of 105325636234420 is 24432636523501.

105325636234420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105325636234420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325636234421) 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, 8530047 + ... + 16834873.

It is an arithmetic number, because the mean of its divisors is an integer number (2654505392952).

Almost surely, 2^{105325636234420} is an apocalyptic number.

105325636234420 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 105325636234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127416258861696).

105325636234420 is an abundant number, since it is smaller than the sum of its proper divisors (149506881488972).

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

105325636234420 is a wasteful number, since it uses less digits than its factorization.

105325636234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305577 (or 8305575 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 105325636234420 in words is "one hundred five trillion, three hundred twenty-five billion, six hundred thirty-six million, two hundred thirty-four thousand, four hundred twenty".