105165620325 has 48 divisors (see below), whose sum is σ = 201592871040. Its totient is φ = 53649699840.

The previous prime is 105165620323. The next prime is 105165620327. The reversal of 105165620325 is 523026561501.

105165620325 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 5 + 620 + 3 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (105165620323) and next prime (105165620327).

It is not a de Polignac number, because 105165620325 - 2¹ = 105165620323 is a prime.

It is a super-2 number, since 2×105165620325² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105165620325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105165620321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3371452 + ... + 3402501.

It is an arithmetic number, because the mean of its divisors is an integer number (4199851480).

Almost surely, 2^105165620325 is an apocalyptic number.

105165620325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105165620325 is a deficient number, since it is larger than the sum of its proper divisors (96427250715).

105165620325 is a wasteful number, since it uses less digits than its factorization.

105165620325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773995 (or 6773984 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105165620325 in words is "one hundred five billion, one hundred sixty-five million, six hundred twenty thousand, three hundred twenty-five".