106191720000 has 420 divisors, whose sum is σ = 384400011996. Its totient is φ = 28016640000.

The previous prime is 106191719989. The next prime is 106191720007. The reversal of 106191720000 is 27191601.

106191720000 is a `hidden beast` number, since 10 + 619 + 17 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 51951173184 + 54240546816 = 227928^2 + 232896^2 .

It is a super-2 number, since 2×106191720000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106191720007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34918480 + ... + 34921520.

Almost surely, 2^106191720000 is an apocalyptic number.

106191720000 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 106191720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192200005998).

106191720000 is an abundant number, since it is smaller than the sum of its proper divisors (278208291996).

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

106191720000 is an equidigital number, since it uses as much as digits as its factorization.

106191720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 106191720000 in words is "one hundred six billion, one hundred ninety-one million, seven hundred twenty thousand".