105300725760 has 416 divisors, whose sum is σ = 379139765760. Its totient is φ = 28068249600.

The previous prime is 105300725737. The next prime is 105300725833. The reversal of 105300725760 is 67527003501.

105300725760 is a `hidden beast` number, since 1 + 0 + 530 + 0 + 72 + 57 + 6 + 0 = 666.

It is a super-2 number, since 2×105300725760² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44788585 + ... + 44790935.

Almost surely, 2^105300725760 is an apocalyptic number.

105300725760 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 105300725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189569882880).

105300725760 is an abundant number, since it is smaller than the sum of its proper divisors (273839040000).

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

105300725760 is an frugal number, since it uses more digits than its factorization.

105300725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 105300725760 in words is "one hundred five billion, three hundred million, seven hundred twenty-five thousand, seven hundred sixty".