106685667285120 has 4608 divisors, whose sum is σ = 523920395980800. Its totient is φ = 20126009917440.

The previous prime is 106685667285083. The next prime is 106685667285269. The reversal of 106685667285120 is 21582766586601.

106685667285120 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 56 + 67 + 2 + 8 + 512 + 0 = 666.

It is a super-2 number, since 2×106685667285120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 100362809709 + ... + 100362810771.

It is an arithmetic number, because the mean of its divisors is an integer number (113698002600).

Almost surely, 2^{106685667285120} is an apocalyptic number.

106685667285120 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 106685667285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261960197990400).

106685667285120 is an abundant number, since it is smaller than the sum of its proper divisors (417234728695680).

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

106685667285120 is a wasteful number, since it uses less digits than its factorization.

106685667285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 106685667285120 in words is "one hundred six trillion, six hundred eighty-five billion, six hundred sixty-seven million, two hundred eighty-five thousand, one hundred twenty".