107606016000 has 1024 divisors, whose sum is σ = 458011008000. Its totient is φ = 24418713600.

The previous prime is 107606015983. The next prime is 107606016019. The reversal of 107606016000 is 610606701.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774143931 + ... + 774144069.

It is an arithmetic number, because the mean of its divisors is an integer number (447276375).

Almost surely, 2^107606016000 is an apocalyptic number.

107606016000 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 107606016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229005504000).

107606016000 is an abundant number, since it is smaller than the sum of its proper divisors (350404992000).

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

107606016000 is an frugal number, since it uses more digits than its factorization.

107606016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 107606016000 in words is "one hundred seven billion, six hundred six million, sixteen thousand".