2106310500 has 384 divisors, whose sum is σ = 8051097600. Its totient is φ = 465264000.

The previous prime is 2106310487. The next prime is 2106310511. The reversal of 2106310500 is 50136012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2929141 + ... + 2929859.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 2^2106310500 is an apocalyptic number.

2106310500 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 2106310500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025548800).

2106310500 is an abundant number, since it is smaller than the sum of its proper divisors (5944787100).

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

2106310500 is a wasteful number, since it uses less digits than its factorization.

2106310500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2106310500 is about 45894.5585009814. The cubic root of 2106310500 is about 1281.8605957405.

Adding to 2106310500 its reverse (50136012), we get a palindrome (2156446512).

The spelling of 2106310500 in words is "two billion, one hundred six million, three hundred ten thousand, five hundred".