234536804100 has 135 divisors (see below), whose sum is σ = 760416977551. Its totient is φ = 62531524800.

The previous prime is 234536804093. The next prime is 234536804111. The reversal of 234536804100 is 1408635432.

The square root of 234536804100 is 484290.

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

234536804100 is a `hidden beast` number, since 2 + 3 + 4 + 536 + 80 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23260520196 + 211276283904 = 152514^2 + 459648^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43583410 + ... + 43588790.

Almost surely, 2^234536804100 is an apocalyptic number.

234536804100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234536804100 is the 484290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234536804100

234536804100 is an abundant number, since it is smaller than the sum of its proper divisors (525880173451).

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

234536804100 is an frugal number, since it uses more digits than its factorization.

234536804100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10788 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 234536804100 by its sum of digits (36), we get a square (8443324947600 = 2905740²).

234536804100 divided by its sum of digits (36) gives a square (6514911225 = 80715²).

The spelling of 234536804100 in words is "two hundred thirty-four billion, five hundred thirty-six million, eight hundred four thousand, one hundred".