2107073107008 has 224 divisors, whose sum is σ = 6274327019520. Its totient is φ = 693310026240.

The previous prime is 2107073106967. The next prime is 2107073107033. The reversal of 2107073107008 is 8007013707012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190318113 + ... + 190329183.

It is an arithmetic number, because the mean of its divisors is an integer number (28010388480).

Almost surely, 2^{2107073107008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107073107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137163509760).

2107073107008 is an abundant number, since it is smaller than the sum of its proper divisors (4167253912512).

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

2107073107008 is a wasteful number, since it uses less digits than its factorization.

2107073107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12502 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 2107073107008 in words is "two trillion, one hundred seven billion, seventy-three million, one hundred seven thousand, eight".