106446620160 has 960 divisors, whose sum is σ = 406068474240. Its totient is φ = 25692733440.

The previous prime is 106446620143. The next prime is 106446620209. The reversal of 106446620160 is 61026644601.

106446620160 is a `hidden beast` number, since 1 + 0 + 6 + 446 + 6 + 201 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106446620160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196029396 + ... + 1196029484.

It is an arithmetic number, because the mean of its divisors is an integer number (422987994).

Almost surely, 2^106446620160 is an apocalyptic number.

106446620160 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 106446620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203034237120).

106446620160 is an abundant number, since it is smaller than the sum of its proper divisors (299621854080).

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

106446620160 is a wasteful number, since it uses less digits than its factorization.

106446620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106446620160 in words is "one hundred six billion, four hundred forty-six million, six hundred twenty thousand, one hundred sixty".