2107105020 has 72 divisors (see below), whose sum is σ = 6397949376. Its totient is φ = 561332352.

The previous prime is 2107105019. The next prime is 2107105037. The reversal of 2107105020 is 205017012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2107104984 and 2107105002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193234 + ... + 203846.

It is an arithmetic number, because the mean of its divisors is an integer number (88860408).

Almost surely, 2^2107105020 is an apocalyptic number.

2107105020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107105020 is an abundant number, since it is smaller than the sum of its proper divisors (4290844356).

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

2107105020 is a wasteful number, since it uses less digits than its factorization.

2107105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2107105020 is about 45903.2136129923. The cubic root of 2107105020 is about 1282.0217520767.

The spelling of 2107105020 in words is "two billion, one hundred seven million, one hundred five thousand, twenty".