105350475 has 24 divisors (see below), whose sum is σ = 180189360. Its totient is φ = 54248320.

The previous prime is 105350471. The next prime is 105350491. The reversal of 105350475 is 574053501.

It is not a de Polignac number, because 105350475 - 2² = 105350471 is a prime.

It is a super-2 number, since 2×105350475² = 22197445165451250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105350471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22044 + ... + 26393.

It is an arithmetic number, because the mean of its divisors is an integer number (7507890).

Almost surely, 2^105350475 is an apocalyptic number.

105350475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105350475 is a deficient number, since it is larger than the sum of its proper divisors (74838885).

105350475 is a wasteful number, since it uses less digits than its factorization.

105350475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48479 (or 48474 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105350475 is about 10264.0379480982. The cubic root of 105350475 is about 472.2937147172.

The spelling of 105350475 in words is "one hundred five million, three hundred fifty thousand, four hundred seventy-five".