106180168896 has 224 divisors, whose sum is σ = 331988647680. Its totient is φ = 33162596352.

The previous prime is 106180168883. The next prime is 106180168921. The reversal of 106180168896 is 698861081601.

106180168896 is a `hidden beast` number, since 1 + 0 + 618 + 0 + 16 + 8 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×106180168896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6660391 + ... + 6676313.

Almost surely, 2^106180168896 is an apocalyptic number.

106180168896 is a gapful number since it is divisible by the number (16) 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 106180168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165994323840).

106180168896 is an abundant number, since it is smaller than the sum of its proper divisors (225808478784).

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

106180168896 is a wasteful number, since it uses less digits than its factorization.

106180168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16188 (or 16172 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 106180168896 in words is "one hundred six billion, one hundred eighty million, one hundred sixty-eight thousand, eight hundred ninety-six".