106840579680 has 288 divisors, whose sum is σ = 378705468960. Its totient is φ = 27396096000.

The previous prime is 106840579661. The next prime is 106840579757. The reversal of 106840579680 is 86975048601.

106840579680 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 0 + 579 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106840579680² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10476664 + ... + 10486856.

It is an arithmetic number, because the mean of its divisors is an integer number (1314949545).

Almost surely, 2^106840579680 is an apocalyptic number.

106840579680 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 106840579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189352734480).

106840579680 is an abundant number, since it is smaller than the sum of its proper divisors (271864889280).

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

106840579680 is a wasteful number, since it uses less digits than its factorization.

106840579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10483 counting only the distinct ones).

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

The spelling of 106840579680 in words is "one hundred six billion, eight hundred forty million, five hundred seventy-nine thousand, six hundred eighty".