106626635552 has 48 divisors (see below), whose sum is σ = 213423449400. Its totient is φ = 52424355840.

The previous prime is 106626635551. The next prime is 106626635579. The reversal of 106626635552 is 255536626601.

It can be written as a sum of positive squares in 4 ways, for example, as 48138115216 + 58488520336 = 219404^2 + 241844^2 .

It is a super-2 number, since 2×106626635552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106626635497 and 106626635506.

It is not an unprimeable number, because it can be changed into a prime (106626635551) 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, 10358024 + ... + 10368312.

Almost surely, 2^106626635552 is an apocalyptic number.

It is an amenable number.

106626635552 is an abundant number, since it is smaller than the sum of its proper divisors (106796813848).

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

106626635552 is a wasteful number, since it uses less digits than its factorization.

106626635552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 106626635552 in words is "one hundred six billion, six hundred twenty-six million, six hundred thirty-five thousand, five hundred fifty-two".