105407375 has 16 divisors (see below), whose sum is σ = 132132000. Its totient is φ = 83952000.

The previous prime is 105407363. The next prime is 105407377. The reversal of 105407375 is 573704501.

It is not a de Polignac number, because 105407375 - 2⁴ = 105407359 is a prime.

It is a super-2 number, since 2×105407375² = 22221429408781250, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105407377) 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 15 ways as a sum of consecutive naturals, for example, 28376 + ... + 31874.

It is an arithmetic number, because the mean of its divisors is an integer number (8258250).

Almost surely, 2^105407375 is an apocalyptic number.

105407375 is a deficient number, since it is larger than the sum of its proper divisors (26724625).

105407375 is an equidigital number, since it uses as much as digits as its factorization.

105407375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 105407375 is about 10266.8093875361. The cubic root of 105407375 is about 472.3787283370.

The spelling of 105407375 in words is "one hundred five million, four hundred seven thousand, three hundred seventy-five".