204262315451100 has 216 divisors, whose sum is σ = 657607299029408. Its totient is φ = 52993405785600.

The previous prime is 204262315451053. The next prime is 204262315451107. The reversal of 204262315451100 is 1154513262402.

204262315451100 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 2 + 3 + 1 + 545 + 1 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204262315451107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 412372782 + ... + 412867818.

Almost surely, 2^{204262315451100} is an apocalyptic number.

204262315451100 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 204262315451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328803649514704).

204262315451100 is an abundant number, since it is smaller than the sum of its proper divisors (453344983578308).

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

204262315451100 is a wasteful number, since it uses less digits than its factorization.

204262315451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507485 (or 507475 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 204262315451100 in words is "two hundred four trillion, two hundred sixty-two billion, three hundred fifteen million, four hundred fifty-one thousand, one hundred".