106086860268480 has 672 divisors, whose sum is σ = 453731058178944. Its totient is φ = 22152402173952.

The previous prime is 106086860268479. The next prime is 106086860268509. The reversal of 106086860268480 is 84862068680601.

106086860268480 is a `hidden beast` number, since 10 + 6 + 0 + 8 + 6 + 8 + 602 + 6 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106086860268480² (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 95 ways as a sum of consecutive naturals, for example, 23335224 + ... + 27508296.

It is an arithmetic number, because the mean of its divisors is an integer number (675195027052).

Almost surely, 2^{106086860268480} is an apocalyptic number.

106086860268480 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 106086860268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226865529089472).

106086860268480 is an abundant number, since it is smaller than the sum of its proper divisors (347644197910464).

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

106086860268480 is a wasteful number, since it uses less digits than its factorization.

106086860268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173213 (or 4173200 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 106086860268480 in words is "one hundred six trillion, eighty-six billion, eight hundred sixty million, two hundred sixty-eight thousand, four hundred eighty".