10344026106 has 80 divisors (see below), whose sum is σ = 23509332000. Its totient is φ = 3399125472.

The previous prime is 10344026089. The next prime is 10344026111. The reversal of 10344026106 is 60162044301.

10344026106 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 40 + 2 + 610 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10344026106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3353641 + ... + 3356723.

It is an arithmetic number, because the mean of its divisors is an integer number (293866650).

Almost surely, 2^10344026106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344026106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754666000).

10344026106 is an abundant number, since it is smaller than the sum of its proper divisors (13165305894).

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

10344026106 is a wasteful number, since it uses less digits than its factorization.

10344026106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10344026106 in words is "ten billion, three hundred forty-four million, twenty-six thousand, one hundred six".