16395264100 has 36 divisors (see below), whose sum is σ = 37670534244. Its totient is φ = 6172334080.

The previous prime is 16395264079. The next prime is 16395264121. The reversal of 16395264100 is 146259361.

16395264100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16395264079) and next prime (16395264121).

It can be written as a sum of positive squares in 6 ways, for example, as 469328896 + 15925935204 = 21664^2 + 126198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16395264100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4820437 + ... + 4823836.

It is an arithmetic number, because the mean of its divisors is an integer number (1046403729).

Almost surely, 2^16395264100 is an apocalyptic number.

16395264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16395264100 is an abundant number, since it is smaller than the sum of its proper divisors (21275270144).

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

16395264100 is a wasteful number, since it uses less digits than its factorization.

16395264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644304 (or 9644297 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 16395264100 in words is "sixteen billion, three hundred ninety-five million, two hundred sixty-four thousand, one hundred".