2106104000 has 448 divisors, whose sum is σ = 7029614592. Its totient is φ = 603648000.

The previous prime is 2106103999. The next prime is 2106104003. The reversal of 2106104000 is 4016012.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2106104003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8007869 + ... + 8008131.

It is an arithmetic number, because the mean of its divisors is an integer number (15691104).

Almost surely, 2^2106104000 is an apocalyptic number.

2106104000 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 2106104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514807296).

2106104000 is an abundant number, since it is smaller than the sum of its proper divisors (4923510592).

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

2106104000 is a wasteful number, since it uses less digits than its factorization.

2106104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2106104000 is about 45892.3087237938. The cubic root of 2106104000 is about 1281.8187037111.

The spelling of 2106104000 in words is "two billion, one hundred six million, one hundred four thousand".