106842248705 has 16 divisors (see below), whose sum is σ = 133815873744. Its totient is φ = 81815685120.

The previous prime is 106842248701. The next prime is 106842248719. The reversal of 106842248705 is 507842248601.

It can be written as a sum of positive squares in 8 ways, for example, as 117852736 + 106724395969 = 10856^2 + 326687^2 .

It is not a de Polignac number, because 106842248705 - 2² = 106842248701 is a prime.

It is a super-2 number, since 2×106842248705² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106842248705.

It is not an unprimeable number, because it can be changed into a prime (106842248701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4905944 + ... + 4927673.

It is an arithmetic number, because the mean of its divisors is an integer number (8363492109).

Almost surely, 2^106842248705 is an apocalyptic number.

It is an amenable number.

106842248705 is a deficient number, since it is larger than the sum of its proper divisors (26973625039).

106842248705 is an equidigital number, since it uses as much as digits as its factorization.

106842248705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833716.

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 106842248705 in words is "one hundred six billion, eight hundred forty-two million, two hundred forty-eight thousand, seven hundred five".