10106226208 has 48 divisors (see below), whose sum is σ = 21488155416. Its totient is φ = 4651130880.

The previous prime is 10106226191. The next prime is 10106226209. The reversal of 10106226208 is 80262260101.

It can be written as a sum of positive squares in 4 ways, for example, as 2721917584 + 7384308624 = 52172^2 + 85932^2 .

It is not an unprimeable number, because it can be changed into a prime (10106226209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112438 + ... + 181258.

Almost surely, 2^10106226208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744077708).

10106226208 is an abundant number, since it is smaller than the sum of its proper divisors (11381929208).

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

10106226208 is a wasteful number, since it uses less digits than its factorization.

10106226208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69197 (or 69189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 10106226208 its reverse (80262260101), we get a palindrome (90368486309).

The spelling of 10106226208 in words is "ten billion, one hundred six million, two hundred twenty-six thousand, two hundred eight".