106117265479680 has 3456 divisors, whose sum is σ = 498179453466240. Its totient is φ = 21051903836160.

The previous prime is 106117265479657. The next prime is 106117265479691. The reversal of 106117265479680 is 86974562711601.

106117265479680 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 7 + 2 + 6 + 547 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×106117265479680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103934637570 + ... + 103934638590.

It is an arithmetic number, because the mean of its divisors is an integer number (144149147415).

Almost surely, 2^{106117265479680} is an apocalyptic number.

106117265479680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106117265479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249089726733120).

106117265479680 is an abundant number, since it is smaller than the sum of its proper divisors (392062187986560).

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

106117265479680 is an equidigital number, since it uses as much as digits as its factorization.

106117265479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 106117265479680 in words is "one hundred six trillion, one hundred seventeen billion, two hundred sixty-five million, four hundred seventy-nine thousand, six hundred eighty".