106820290241 has 12 divisors (see below), whose sum is σ = 128843788032. Its totient is φ = 86741286264.

The previous prime is 106820290237. The next prime is 106820290249. The reversal of 106820290241 is 142092028601.

It is not a de Polignac number, because 106820290241 - 2² = 106820290237 is a prime.

It is a super-2 number, since 2×106820290241² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106820290249) 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, 21133265 + ... + 21138318.

It is an arithmetic number, because the mean of its divisors is an integer number (10736982336).

Almost surely, 2^106820290241 is an apocalyptic number.

It is an amenable number.

106820290241 is a deficient number, since it is larger than the sum of its proper divisors (22023497791).

106820290241 is an equidigital number, since it uses as much as digits as its factorization.

106820290241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42271628 (or 42271609 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 106820290241 in words is "one hundred six billion, eight hundred twenty million, two hundred ninety thousand, two hundred forty-one".