106684861928130 has 96 divisors (see below), whose sum is σ = 277880789637360. Its totient is φ = 28398035773440.

The previous prime is 106684861928107. The next prime is 106684861928131. The reversal of 106684861928130 is 31829168486601.

106684861928130 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 4 + 8 + 619 + 2 + 8 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20981685652929 + 85703176275201 = 4580577^2 + 9257601^2 .

It is a super-2 number, since 2×106684861928130² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106684861928131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140230606 + ... + 140989334.

Almost surely, 2^{106684861928130} is an apocalyptic number.

106684861928130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106684861928130 is an abundant number, since it is smaller than the sum of its proper divisors (171195927709230).

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

106684861928130 is a wasteful number, since it uses less digits than its factorization.

106684861928130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761556 (or 761553 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 106684861928130 in words is "one hundred six trillion, six hundred eighty-four billion, eight hundred sixty-one million, nine hundred twenty-eight thousand, one hundred thirty".