106008228200160 has 768 divisors, whose sum is σ = 443039933629440. Its totient is φ = 23333225472000.

The previous prime is 106008228200057. The next prime is 106008228200239. The reversal of 106008228200160 is 61002822800601.

106008228200160 is a `hidden beast` number, since 1 + 0 + 600 + 8 + 2 + 28 + 20 + 0 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×106008228200160² (a number of 29 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36276795 + ... + 39089925.

It is an arithmetic number, because the mean of its divisors is an integer number (576874913580).

Almost surely, 2^{106008228200160} is an apocalyptic number.

106008228200160 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 106008228200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221519966814720).

106008228200160 is an abundant number, since it is smaller than the sum of its proper divisors (337031705429280).

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

106008228200160 is a wasteful number, since it uses less digits than its factorization.

106008228200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813240 (or 2813226 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 106008228200160 in words is "one hundred six trillion, eight billion, two hundred twenty-eight million, two hundred thousand, one hundred sixty".