105075035325 has 192 divisors, whose sum is σ = 212146421760. Its totient is φ = 50676192000.

The previous prime is 105075035281. The next prime is 105075035363. The reversal of 105075035325 is 523530570501.

105075035325 is a `hidden beast` number, since 1 + 0 + 50 + 75 + 0 + 3 + 532 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-105075035325 is a prime.

It is a super-2 number, since 2×105075035325² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105075035325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118997334 + ... + 118998216.

It is an arithmetic number, because the mean of its divisors is an integer number (1104929280).

Almost surely, 2^105075035325 is an apocalyptic number.

105075035325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105075035325 is an abundant number, since it is smaller than the sum of its proper divisors (107071386435).

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

105075035325 is a wasteful number, since it uses less digits than its factorization.

105075035325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The spelling of 105075035325 in words is "one hundred five billion, seventy-five million, thirty-five thousand, three hundred twenty-five".