105193375 has 32 divisors (see below), whose sum is σ = 156589056. Its totient is φ = 68983200.

The previous prime is 105193373. The next prime is 105193409. The reversal of 105193375 is 573391501.

It is not a de Polignac number, because 105193375 - 2¹ = 105193373 is a prime.

It is a super-2 number, since 2×105193375² = 22131292287781250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105193375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105193373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17512 + ... + 22738.

It is an arithmetic number, because the mean of its divisors is an integer number (4893408).

Almost surely, 2^105193375 is an apocalyptic number.

105193375 is a deficient number, since it is larger than the sum of its proper divisors (51395681).

105193375 is an equidigital number, since it uses as much as digits as its factorization.

105193375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 105193375 is about 10256.3821594166. The cubic root of 105193375 is about 472.0588344141.

The spelling of 105193375 in words is "one hundred five million, one hundred ninety-three thousand, three hundred seventy-five".