2007108308900 has 72 divisors (see below), whose sum is σ = 4431603104040. Its totient is φ = 788829696000.

The previous prime is 2007108308899. The next prime is 2007108308903. The reversal of 2007108308900 is 98038017002.

It can be written as a sum of positive squares in 12 ways, for example, as 1201900001344 + 805208307556 = 1096312^2 + 897334^2 .

It is not an unprimeable number, because it can be changed into a prime (2007108308903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5489810 + ... + 5843990.

Almost surely, 2^{2007108308900} is an apocalyptic number.

2007108308900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1416724×1416725.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007108308900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215801552020).

2007108308900 is an abundant number, since it is smaller than the sum of its proper divisors (2424494795140).

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

2007108308900 is a wasteful number, since it uses less digits than its factorization.

2007108308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355185 (or 355178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 2007108308900 in words is "two trillion, seven billion, one hundred eight million, three hundred eight thousand, nine hundred".