106813080000000 has 2880 divisors, whose sum is σ = 448310220291648. Its totient is φ = 25194240000000.

The previous prime is 106813079999981. The next prime is 106813080000001. The reversal of 106813080000000 is 80318601.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×106813080000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106813080000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2886839999982 + ... + 2886840000018.

Almost surely, 2^{106813080000000} is an apocalyptic number.

106813080000000 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 106813080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224155110145824).

106813080000000 is an abundant number, since it is smaller than the sum of its proper divisors (341497140291648).

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

106813080000000 is an frugal number, since it uses more digits than its factorization.

106813080000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 106813080000000 in words is "one hundred six trillion, eight hundred thirteen billion, eighty million", and thus it is an aban number.