105525725760 has 1008 divisors, whose sum is σ = 460165161456. Its totient is φ = 21998075904.

The previous prime is 105525725743. The next prime is 105525725783. The reversal of 105525725760 is 67527525501.

105525725760 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 5 + 72 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5664669696 + 99861056064 = 75264^2 + 316008^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×105525725760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177952024 + ... + 177952616.

It is an arithmetic number, because the mean of its divisors is an integer number (456513057).

Almost surely, 2^105525725760 is an apocalyptic number.

105525725760 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 105525725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230082580728).

105525725760 is an abundant number, since it is smaller than the sum of its proper divisors (354639435696).

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

105525725760 is a wasteful number, since it uses less digits than its factorization.

105525725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 105525725760 in words is "one hundred five billion, five hundred twenty-five million, seven hundred twenty-five thousand, seven hundred sixty".