106518084634800 has 720 divisors, whose sum is σ = 404999872992000. Its totient is φ = 25804930744320.

The previous prime is 106518084634777. The next prime is 106518084634813. The reversal of 106518084634800 is 8436480815601.

106518084634800 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 80 + 84 + 6 + 3 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106518084634800² (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 143 ways as a sum of consecutive naturals, for example, 9369163516 + ... + 9369174884.

It is an arithmetic number, because the mean of its divisors is an integer number (562499823600).

Almost surely, 2^{106518084634800} is an apocalyptic number.

106518084634800 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 106518084634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202499936496000).

106518084634800 is an abundant number, since it is smaller than the sum of its proper divisors (298481788357200).

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

106518084634800 is a wasteful number, since it uses less digits than its factorization.

106518084634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16704 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 106518084634800 in words is "one hundred six trillion, five hundred eighteen billion, eighty-four million, six hundred thirty-four thousand, eight hundred".