105575946 has 32 divisors (see below), whose sum is σ = 242034048. Its totient is φ = 30074880.

The previous prime is 105575929. The next prime is 105575969. The reversal of 105575946 is 649575501.

It is a super-2 number, since 2×105575946² = 22292560747589832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105575898 and 105575907.

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 15 ways as a sum of consecutive naturals, for example, 11266 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (7563564).

Almost surely, 2^105575946 is an apocalyptic number.

105575946 is an abundant number, since it is smaller than the sum of its proper divisors (136458102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105575946 is a wasteful number, since it uses less digits than its factorization.

105575946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486.

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 105575946 is about 10275.0156204261. The cubic root of 105575946 is about 472.6304088405.

The spelling of 105575946 in words is "one hundred five million, five hundred seventy-five thousand, nine hundred forty-six".