201078900 has 216 divisors, whose sum is σ = 724432800. Its totient is φ = 46137600.

The previous prime is 201078893. The next prime is 201078959. The reversal of 201078900 is 9870102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187566 + ... + 188634.

Almost surely, 2^201078900 is an apocalyptic number.

201078900 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 201078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362216400).

201078900 is an abundant number, since it is smaller than the sum of its proper divisors (523353900).

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

201078900 is a wasteful number, since it uses less digits than its factorization.

201078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 201078900 is about 14180.2291941985. The cubic root of 201078900 is about 585.8532366294.

The spelling of 201078900 in words is "two hundred one million, seventy-eight thousand, nine hundred".