106879338720 has 432 divisors, whose sum is σ = 458173104480. Its totient is φ = 22208440320.

The previous prime is 106879338703. The next prime is 106879338721. The reversal of 106879338720 is 27833978601.

It is a super-2 number, since 2×106879338720² (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 (106879338721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1175866 + ... + 1263494.

It is an arithmetic number, because the mean of its divisors is an integer number (1060585890).

Almost surely, 2^106879338720 is an apocalyptic number.

106879338720 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 106879338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229086552240).

106879338720 is an abundant number, since it is smaller than the sum of its proper divisors (351293765760).

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

106879338720 is a wasteful number, since it uses less digits than its factorization.

106879338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87679 (or 87657 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 106879338720 in words is "one hundred six billion, eight hundred seventy-nine million, three hundred thirty-eight thousand, seven hundred twenty".