106011397917 has 32 divisors (see below), whose sum is σ = 157872274560. Its totient is φ = 70306704000.

The previous prime is 106011397871. The next prime is 106011397939. The reversal of 106011397917 is 719793110601.

106011397917 is a `hidden beast` number, since 1 + 0 + 601 + 1 + 39 + 7 + 9 + 1 + 7 = 666.

It is not a de Polignac number, because 106011397917 - 2¹² = 106011393821 is a prime.

It is a super-2 number, since 2×106011397917² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011390917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5798763 + ... + 5817015.

It is an arithmetic number, because the mean of its divisors is an integer number (4933508580).

Almost surely, 2^106011397917 is an apocalyptic number.

It is an amenable number.

106011397917 is a deficient number, since it is larger than the sum of its proper divisors (51860876643).

106011397917 is a wasteful number, since it uses less digits than its factorization.

106011397917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19370 (or 19364 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 106011397917 in words is "one hundred six billion, eleven million, three hundred ninety-seven thousand, nine hundred seventeen".