106006455144325 has 24 divisors (see below), whose sum is σ = 135015776247528. Its totient is φ = 82503889332480.

The previous prime is 106006455144311. The next prime is 106006455144353. The reversal of 106006455144325 is 523441554600601.

It can be written as a sum of positive squares in 12 ways, for example, as 40662545204961 + 65343909939364 = 6376719^2 + 8083558^2 .

It is not a de Polignac number, because 106006455144325 - 2¹³ = 106006455136133 is a prime.

It is a super-2 number, since 2×106006455144325² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848519 + ... + 14677531.

It is an arithmetic number, because the mean of its divisors is an integer number (5625657343647).

Almost surely, 2^{106006455144325} is an apocalyptic number.

It is an amenable number.

106006455144325 is a deficient number, since it is larger than the sum of its proper divisors (29009321103203).

106006455144325 is a wasteful number, since it uses less digits than its factorization.

106006455144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837993 (or 12837988 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 106006455144325 in words is "one hundred six trillion, six billion, four hundred fifty-five million, one hundred forty-four thousand, three hundred twenty-five".