105728440320 has 384 divisors, whose sum is σ = 382053672000. Its totient is φ = 27727626240.

The previous prime is 105728440247. The next prime is 105728440331. The reversal of 105728440320 is 23044827501.

It is a happy number.

105728440320 is a `hidden beast` number, since 1 + 0 + 57 + 284 + 4 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105728440320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16862146 + ... + 16868414.

Almost surely, 2^105728440320 is an apocalyptic number.

105728440320 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 105728440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191026836000).

105728440320 is an abundant number, since it is smaller than the sum of its proper divisors (276325231680).

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

105728440320 is an equidigital number, since it uses as much as digits as its factorization.

105728440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 105728440320 in words is "one hundred five billion, seven hundred twenty-eight million, four hundred forty thousand, three hundred twenty".