106084715680 has 24 divisors (see below), whose sum is σ = 250625141172. Its totient is φ = 42433886208.

The previous prime is 106084715669. The next prime is 106084715683. The reversal of 106084715680 is 86517480601.

It can be written as a sum of positive squares in 2 ways, for example, as 101717620624 + 4367095056 = 318932^2 + 66084^2 .

It is a super-2 number, since 2×106084715680² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106084715680.

It is not an unprimeable number, because it can be changed into a prime (106084715683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331514577 + ... + 331514896.

Almost surely, 2^106084715680 is an apocalyptic number.

106084715680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106084715680 is an abundant number, since it is smaller than the sum of its proper divisors (144540425492).

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

106084715680 is an equidigital number, since it uses as much as digits as its factorization.

106084715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663029488 (or 663029480 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 106084715680 in words is "one hundred six billion, eighty-four million, seven hundred fifteen thousand, six hundred eighty".