106984576080 has 120 divisors (see below), whose sum is σ = 362469700008. Its totient is φ = 28276727808.

The previous prime is 106984576063. The next prime is 106984576081. The reversal of 106984576080 is 80675489601.

106984576080 is a `hidden beast` number, since 1 + 0 + 69 + 8 + 4 + 576 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3604321296 + 103380254784 = 60036^2 + 321528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106984576080² (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 (106984576081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576117 + ... + 738836.

Almost surely, 2^106984576080 is an apocalyptic number.

106984576080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106984576080 is an abundant number, since it is smaller than the sum of its proper divisors (255485123928).

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

106984576080 is a wasteful number, since it uses less digits than its factorization.

106984576080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315085 (or 1315076 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106984576080 in words is "one hundred six billion, nine hundred eighty-four million, five hundred seventy-six thousand, eighty".