105705091042 has 16 divisors (see below), whose sum is σ = 161074923840. Its totient is φ = 52014927888.

The previous prime is 105705091021. The next prime is 105705091069. The reversal of 105705091042 is 240190507501.

It is a super-2 number, since 2×105705091042² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105705090989 and 105705091007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225718 + ... + 512209.

It is an arithmetic number, because the mean of its divisors is an integer number (10067182740).

Almost surely, 2^105705091042 is an apocalyptic number.

105705091042 is a deficient number, since it is larger than the sum of its proper divisors (55369832798).

105705091042 is a wasteful number, since it uses less digits than its factorization.

105705091042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739065.

The product of its (nonzero) digits is 12600, while the sum is 34.

Adding to 105705091042 its reverse (240190507501), we get a palindrome (345895598543).

The spelling of 105705091042 in words is "one hundred five billion, seven hundred five million, ninety-one thousand, forty-two".