105452304020 has 96 divisors (see below), whose sum is σ = 255275919360. Its totient is φ = 35842734720.

The previous prime is 105452304017. The next prime is 105452304109. The reversal of 105452304020 is 20403254501.

It is a happy number.

It is a super-2 number, since 2×105452304020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23087777 + ... + 23092343.

It is an arithmetic number, because the mean of its divisors is an integer number (2659124160).

Almost surely, 2^105452304020 is an apocalyptic number.

105452304020 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 105452304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127637959680).

105452304020 is an abundant number, since it is smaller than the sum of its proper divisors (149823615340).

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

105452304020 is a wasteful number, since it uses less digits than its factorization.

105452304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 105452304020 its reverse (20403254501), we get a palindrome (125855558521).

The spelling of 105452304020 in words is "one hundred five billion, four hundred fifty-two million, three hundred four thousand, twenty".