106117460717744 has 80 divisors (see below), whose sum is σ = 249042981211200. Its totient is φ = 42761258975232.

The previous prime is 106117460717717. The next prime is 106117460717747. The reversal of 106117460717744 is 447717064711601.

It is a happy number.

It is a super-2 number, since 2×106117460717744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 106117460717744.

It is not an unprimeable number, because it can be changed into a prime (106117460717747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25697279 + ... + 29539550.

It is an arithmetic number, because the mean of its divisors is an integer number (3113037265140).

Almost surely, 2^{106117460717744} is an apocalyptic number.

106117460717744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106117460717744 is an abundant number, since it is smaller than the sum of its proper divisors (142925520493456).

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

106117460717744 is a wasteful number, since it uses less digits than its factorization.

106117460717744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55237870 (or 55237864 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 56.

The spelling of 106117460717744 in words is "one hundred six trillion, one hundred seventeen billion, four hundred sixty million, seven hundred seventeen thousand, seven hundred forty-four".