106522503553 has 8 divisors (see below), whose sum is σ = 107977124520. Its totient is φ = 105075724800.

The previous prime is 106522503551. The next prime is 106522503713. The reversal of 106522503553 is 355305225601.

It can be written as a sum of positive squares in 4 ways, for example, as 3756096369 + 102766407184 = 61287^2 + 320572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106522503553 - 2¹ = 106522503551 is a prime.

It is a super-3 number, since 3×106522503553³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106522503551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933200 + ... + 1987537.

It is an arithmetic number, because the mean of its divisors is an integer number (13497140565).

Almost surely, 2^106522503553 is an apocalyptic number.

It is an amenable number.

106522503553 is a deficient number, since it is larger than the sum of its proper divisors (1454620967).

106522503553 is a wasteful number, since it uses less digits than its factorization.

106522503553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921107.

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 106522503553 in words is "one hundred six billion, five hundred twenty-two million, five hundred three thousand, five hundred fifty-three".