106166091756960 has 384 divisors, whose sum is σ = 391165363814400. Its totient is φ = 26819047019520.

The previous prime is 106166091756937. The next prime is 106166091757001. The reversal of 106166091756960 is 69657190661601.

106166091756960 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 6 + 0 + 9 + 1 + 7 + 569 + 60 = 666.

It is a super-2 number, since 2×106166091756960² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481261925 + ... + 1481333595.

It is an arithmetic number, because the mean of its divisors is an integer number (1018659801600).

Almost surely, 2^{106166091756960} is an apocalyptic number.

106166091756960 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 106166091756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195582681907200).

106166091756960 is an abundant number, since it is smaller than the sum of its proper divisors (284999272057440).

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

106166091756960 is a wasteful number, since it uses less digits than its factorization.

106166091756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89761 (or 89747 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 106166091756960 in words is "one hundred six trillion, one hundred sixty-six billion, ninety-one million, seven hundred fifty-six thousand, nine hundred sixty".