105246010746 has 40 divisors (see below), whose sum is σ = 235872543060. Its totient is φ = 35075529792.

The previous prime is 105246010721. The next prime is 105246010747. The reversal of 105246010746 is 647010642501.

105246010746 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 601 + 0 + 7 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88321301721 + 16924709025 = 297189^2 + 130095^2 .

It is a super-2 number, since 2×105246010746² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105246010746.

It is not an unprimeable number, because it can be changed into a prime (105246010747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 864520 + ... + 978716.

Almost surely, 2^105246010746 is an apocalyptic number.

105246010746 is an abundant number, since it is smaller than the sum of its proper divisors (130626532314).

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

105246010746 is a wasteful number, since it uses less digits than its factorization.

105246010746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119900 (or 119891 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105246010746 in words is "one hundred five billion, two hundred forty-six million, ten thousand, seven hundred forty-six".