106684061000 has 384 divisors, whose sum is σ = 297443802240. Its totient is φ = 35486208000.

The previous prime is 106684060981. The next prime is 106684061009. The reversal of 106684061000 is 160486601.

It is a happy number.

It is a super-2 number, since 2×106684061000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106684061009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117622547 + ... + 117623453.

It is an arithmetic number, because the mean of its divisors is an integer number (774593235).

Almost surely, 2^106684061000 is an apocalyptic number.

106684061000 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 106684061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721901120).

106684061000 is an abundant number, since it is smaller than the sum of its proper divisors (190759741240).

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

106684061000 is a wasteful number, since it uses less digits than its factorization.

106684061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 106684061000 in words is "one hundred six billion, six hundred eighty-four million, sixty-one thousand".