106684543200 has 576 divisors, whose sum is σ = 371928195072. Its totient is φ = 26504755200.

The previous prime is 106684543151. The next prime is 106684543211. The reversal of 106684543200 is 2345486601.

It is a super-2 number, since 2×106684543200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638829517 + ... + 638829683.

It is an arithmetic number, because the mean of its divisors is an integer number (645708672).

Almost surely, 2^106684543200 is an apocalyptic number.

106684543200 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 106684543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185964097536).

106684543200 is an abundant number, since it is smaller than the sum of its proper divisors (265243651872).

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

106684543200 is a wasteful number, since it uses less digits than its factorization.

106684543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 106684543200 in words is "one hundred six billion, six hundred eighty-four million, five hundred forty-three thousand, two hundred".