106056246263641 has 12 divisors (see below), whose sum is σ = 110221231320036. Its totient is φ = 102041810528160.

The previous prime is 106056246263609. The next prime is 106056246263657. The reversal of 106056246263641 is 146362642650601.

It can be written as a sum of positive squares in 2 ways, for example, as 94202961284041 + 11853284979600 = 9705821^2 + 3442860^2 .

It is not a de Polignac number, because 106056246263641 - 2⁵ = 106056246263609 is a prime.

It is a super-2 number, since 2×106056246263641² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106056246263141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318794146 + ... + 319126651.

It is an arithmetic number, because the mean of its divisors is an integer number (9185102610003).

Almost surely, 2^{106056246263641} is an apocalyptic number.

It is an amenable number.

106056246263641 is a deficient number, since it is larger than the sum of its proper divisors (4164985056395).

106056246263641 is an equidigital number, since it uses as much as digits as its factorization.

106056246263641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637921032 (or 637921001 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 106056246263641 in words is "one hundred six trillion, fifty-six billion, two hundred forty-six million, two hundred sixty-three thousand, six hundred forty-one".