106881679457280 has 2640 divisors, whose sum is σ = 477884333481984. Its totient is φ = 22365259038720.

The previous prime is 106881679457263. The next prime is 106881679457389. The reversal of 106881679457280 is 82754976188601.

It is a happy number.

106881679457280 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 167 + 9 + 457 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×106881679457280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106881679457199 and 106881679457208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64270401729 + ... + 64270403391.

Almost surely, 2^{106881679457280} is an apocalyptic number.

106881679457280 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 106881679457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238942166740992).

106881679457280 is an abundant number, since it is smaller than the sum of its proper divisors (371002654024704).

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

106881679457280 is a wasteful number, since it uses less digits than its factorization.

106881679457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 106881679457280 in words is "one hundred six trillion, eight hundred eighty-one billion, six hundred seventy-nine million, four hundred fifty-seven thousand, two hundred eighty".