2107106848080 has 240 divisors, whose sum is σ = 7628833504656. Its totient is φ = 518119096320.

The previous prime is 2107106848079. The next prime is 2107106848087. The reversal of 2107106848080 is 808486017012.

2107106848080 is a `hidden beast` number, since 2 + 107 + 1 + 0 + 68 + 480 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29980229904 + 2077126618176 = 173148^2 + 1441224^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107106848087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8688144 + ... + 8927376.

Almost surely, 2^{2107106848080} is an apocalyptic number.

2107106848080 is a gapful number since it is divisible by the number (20) 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 2107106848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814416752328).

2107106848080 is an abundant number, since it is smaller than the sum of its proper divisors (5521726656576).

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

2107106848080 is a wasteful number, since it uses less digits than its factorization.

2107106848080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240206 (or 240197 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 2107106848080 in words is "two trillion, one hundred seven billion, one hundred six million, eight hundred forty-eight thousand, eighty".