6923904100 has 81 divisors (see below), whose sum is σ = 15411869697. Its totient is φ = 2699998080.

The previous prime is 6923904083. The next prime is 6923904101. The reversal of 6923904100 is 14093296.

The square root of 6923904100 is 83210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4327797796 + 2596106304 = 65786^2 + 50952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6923904101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44101222 + ... + 44101378.

Almost surely, 2^6923904100 is an apocalyptic number.

6923904100 is the 83210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6923904100

6923904100 is an abundant number, since it is smaller than the sum of its proper divisors (8487965597).

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

6923904100 is a wasteful number, since it uses less digits than its factorization.

6923904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 6923904100 is about 1905.9741873099.

Multiplying 6923904100 by its product of nonzero digits (11664), we get a square (80760417422400 = 8986680²).

Adding to 6923904100 its reverse (14093296), we get a palindrome (6937997396).

The spelling of 6923904100 in words is "six billion, nine hundred twenty-three million, nine hundred four thousand, one hundred".