106117210215567 has 20 divisors (see below), whose sum is σ = 158522030054256. Its totient is φ = 70744244836320.

The previous prime is 106117210215551. The next prime is 106117210215671. The reversal of 106117210215567 is 765512012711601.

106117210215567 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 72 + 1 + 0 + 2 + 15 + 567 = 666.

It is not a de Polignac number, because 106117210215567 - 2⁴ = 106117210215551 is a prime.

It is a super-2 number, since 2×106117210215567² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106117210215967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5183467 + ... + 15462947.

Almost surely, 2^{106117210215567} is an apocalyptic number.

106117210215567 is a deficient number, since it is larger than the sum of its proper divisors (52404819838689).

106117210215567 is a wasteful number, since it uses less digits than its factorization.

106117210215567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406940 (or 10406931 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 106117210215567 in words is "one hundred six trillion, one hundred seventeen billion, two hundred ten million, two hundred fifteen thousand, five hundred sixty-seven".