106641810895680 has 448 divisors, whose sum is σ = 377747527968000. Its totient is φ = 28321568464896.

The previous prime is 106641810895601. The next prime is 106641810895691. The reversal of 106641810895680 is 86598018146601.

106641810895680 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 418 + 10 + 89 + 56 + 80 = 666.

It is a super-2 number, since 2×106641810895680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7778956666 + ... + 7778970374.

Almost surely, 2^{106641810895680} is an apocalyptic number.

106641810895680 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 106641810895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188873763984000).

106641810895680 is an abundant number, since it is smaller than the sum of its proper divisors (271105717072320).

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

106641810895680 is a wasteful number, since it uses less digits than its factorization.

106641810895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 106641810895680 in words is "one hundred six trillion, six hundred forty-one billion, eight hundred ten million, eight hundred ninety-five thousand, six hundred eighty".