106991646720 has 384 divisors, whose sum is σ = 392302310400. Its totient is φ = 24385683456.

The previous prime is 106991646701. The next prime is 106991646863. The reversal of 106991646720 is 27646199601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106991646720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139130496 + ... + 139131264.

It is an arithmetic number, because the mean of its divisors is an integer number (1021620600).

Almost surely, 2^106991646720 is an apocalyptic number.

106991646720 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 106991646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196151155200).

106991646720 is an abundant number, since it is smaller than the sum of its proper divisors (285310663680).

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

106991646720 is an equidigital number, since it uses as much as digits as its factorization.

106991646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 106991646720 in words is "one hundred six billion, nine hundred ninety-one million, six hundred forty-six thousand, seven hundred twenty".