106291504917 has 48 divisors (see below), whose sum is σ = 172671827328. Its totient is φ = 62515221120.

The previous prime is 106291504849. The next prime is 106291504919. The reversal of 106291504917 is 719405192601.

106291504917 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 150 + 491 + 7 = 666.

It is not a de Polignac number, because 106291504917 - 2¹⁰ = 106291503893 is a prime.

It is a super-2 number, since 2×106291504917² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106291504919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3420942 + ... + 3451872.

It is an arithmetic number, because the mean of its divisors is an integer number (3597329736).

Almost surely, 2^106291504917 is an apocalyptic number.

It is an amenable number.

106291504917 is a deficient number, since it is larger than the sum of its proper divisors (66380322411).

106291504917 is a wasteful number, since it uses less digits than its factorization.

106291504917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250 (or 32247 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 106291504917 in words is "one hundred six billion, two hundred ninety-one million, five hundred four thousand, nine hundred seventeen".