106815024001 has 12 divisors (see below), whose sum is σ = 125650331460. Its totient is φ = 90527015040.

The previous prime is 106815023999. The next prime is 106815024013. The reversal of 106815024001 is 100420518601.

It can be written as a sum of positive squares in 2 ways, for example, as 44689960000 + 62125064001 = 211400^2 + 249249^2 .

It is not a de Polignac number, because 106815024001 - 2¹ = 106815023999 is a prime.

It is a super-2 number, since 2×106815024001² (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 (106815024101) 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, 12242260 + ... + 12250981.

It is an arithmetic number, because the mean of its divisors is an integer number (10470860955).

Almost surely, 2^106815024001 is an apocalyptic number.

It is an amenable number.

106815024001 is a deficient number, since it is larger than the sum of its proper divisors (18835307459).

106815024001 is an equidigital number, since it uses as much as digits as its factorization.

106815024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493344 (or 24493337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 106815024001 in words is "one hundred six billion, eight hundred fifteen million, twenty-four thousand, one".