105215025760 has 192 divisors, whose sum is σ = 270210790080. Its totient is φ = 38484910080.

The previous prime is 105215025701. The next prime is 105215025761. The reversal of 105215025760 is 67520512501.

105215025760 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 2×105215025760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215025761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171639214 + ... + 171639826.

It is an arithmetic number, because the mean of its divisors is an integer number (1407347865).

Almost surely, 2^105215025760 is an apocalyptic number.

105215025760 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 105215025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135105395040).

105215025760 is an abundant number, since it is smaller than the sum of its proper divisors (164995764320).

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

105215025760 is a wasteful number, since it uses less digits than its factorization.

105215025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 105215025760 in words is "one hundred five billion, two hundred fifteen million, twenty-five thousand, seven hundred sixty".