105750482625 has 288 divisors, whose sum is σ = 217799655840. Its totient is φ = 49339929600.

The previous prime is 105750482561. The next prime is 105750482707. The reversal of 105750482625 is 526284057501.

105750482625 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 504 + 82 + 62 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 57941785521 + 47808697104 = 240711^2 + 218652^2 .

It is not a de Polignac number, because 105750482625 - 2⁶ = 105750482561 is a prime.

It is a super-2 number, since 2×105750482625² (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).

105750482625 is a modest number, since divided by 482625 gives 105750 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1995292099 + ... + 1995292151.

It is an arithmetic number, because the mean of its divisors is an integer number (756248805).

Almost surely, 2^105750482625 is an apocalyptic number.

105750482625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105750482625 is an abundant number, since it is smaller than the sum of its proper divisors (112049173215).

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

105750482625 is an equidigital number, since it uses as much as digits as its factorization.

105750482625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 105750482625 in words is "one hundred five billion, seven hundred fifty million, four hundred eighty-two thousand, six hundred twenty-five".