105401075 has 48 divisors (see below), whose sum is σ = 150511200. Its totient is φ = 73008000.

The previous prime is 105401069. The next prime is 105401083. The reversal of 105401075 is 570104501.

It is not a de Polignac number, because 105401075 - 2⁶ = 105401011 is a prime.

It is a super-2 number, since 2×105401075² = 22218773222311250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105401075.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1043525 + ... + 1043625.

It is an arithmetic number, because the mean of its divisors is an integer number (3135650).

Almost surely, 2^105401075 is an apocalyptic number.

105401075 is a deficient number, since it is larger than the sum of its proper divisors (45110125).

105401075 is a wasteful number, since it uses less digits than its factorization.

105401075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 105401075 is about 10266.5025690349. The cubic root of 105401075 is about 472.3693170876.

Adding to 105401075 its reverse (570104501), we get a palindrome (675505576).

The spelling of 105401075 in words is "one hundred five million, four hundred one thousand, seventy-five".