106906421637 has 12 divisors (see below), whose sum is σ = 154454662284. Its totient is φ = 71255128320.

The previous prime is 106906421623. The next prime is 106906421689. The reversal of 106906421637 is 736124609601.

106906421637 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 0 + 6 + 4 + 2 + 1 + 637 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5587712001 + 101318709636 = 74751^2 + 318306^2 .

It is not a de Polignac number, because 106906421637 - 2⁴ = 106906421621 is a prime.

It is a super-3 number, since 3×106906421637³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106906421592 and 106906421601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106906421137) 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, 1275414 + ... + 1356647.

It is an arithmetic number, because the mean of its divisors is an integer number (12871221857).

Almost surely, 2^106906421637 is an apocalyptic number.

It is an amenable number.

106906421637 is a deficient number, since it is larger than the sum of its proper divisors (47548240647).

106906421637 is a wasteful number, since it uses less digits than its factorization.

106906421637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636580 (or 2636577 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 106906421637 in words is "one hundred six billion, nine hundred six million, four hundred twenty-one thousand, six hundred thirty-seven".