201455100 has 720 divisors, whose sum is σ = 907441920. Its totient is φ = 37324800.

The previous prime is 201455077. The next prime is 201455101. The reversal of 201455100 is 1554102.

201455100 is a `hidden beast` number, since 201 + 455 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201455101) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10602891 + ... + 10602909.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^201455100 is an apocalyptic number.

201455100 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 201455100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

201455100 is an abundant number, since it is smaller than the sum of its proper divisors (705986820).

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

201455100 is a wasteful number, since it uses less digits than its factorization.

201455100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 201455100 is about 14193.4879434197. The cubic root of 201455100 is about 586.2183680649.

The spelling of 201455100 in words is "two hundred one million, four hundred fifty-five thousand, one hundred".