105452255252320 has 384 divisors, whose sum is σ = 258979291200000. Its totient is φ = 40554712793088.

The previous prime is 105452255252303. The next prime is 105452255252371. The reversal of 105452255252320 is 23252552254501.

It is a super-2 number, since 2×105452255252320² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84429347056 + ... + 84429348304.

It is an arithmetic number, because the mean of its divisors is an integer number (674425237500).

Almost surely, 2^{105452255252320} is an apocalyptic number.

105452255252320 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 105452255252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129489645600000).

105452255252320 is an abundant number, since it is smaller than the sum of its proper divisors (153527035947680).

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

105452255252320 is a wasteful number, since it uses less digits than its factorization.

105452255252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 105452255252320 in words is "one hundred five trillion, four hundred fifty-two billion, two hundred fifty-five million, two hundred fifty-two thousand, three hundred twenty".