106344414153 has 12 divisors (see below), whose sum is σ = 153703850820. Its totient is φ = 70852313376.

The previous prime is 106344414149. The next prime is 106344414179. The reversal of 106344414153 is 351414443601.

106344414153 is a `hidden beast` number, since 1 + 0 + 63 + 4 + 441 + 4 + 153 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51825433104 + 54518981049 = 227652^2 + 233493^2 .

It is not a de Polignac number, because 106344414153 - 2² = 106344414149 is a prime.

It is a super-2 number, since 2×106344414153² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106344434153) 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, 3648238 + ... + 3677271.

It is an arithmetic number, because the mean of its divisors is an integer number (12808654235).

Almost surely, 2^106344414153 is an apocalyptic number.

It is an amenable number.

106344414153 is a deficient number, since it is larger than the sum of its proper divisors (47359436667).

106344414153 is a wasteful number, since it uses less digits than its factorization.

106344414153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327128 (or 7327125 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 106344414153 its reverse (351414443601), we get a palindrome (457758857754).

The spelling of 106344414153 in words is "one hundred six billion, three hundred forty-four million, four hundred fourteen thousand, one hundred fifty-three".