201955104 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 55074816.

The previous prime is 201955093. The next prime is 201955109. The reversal of 201955104 is 401559102.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (201955109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209229 + ... + 1209395.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^201955104 is an apocalyptic number.

201955104 is a gapful number since it is divisible by the number (24) 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 201955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

201955104 is an abundant number, since it is smaller than the sum of its proper divisors (491508576).

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

201955104 is a wasteful number, since it uses less digits than its factorization.

201955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 201955104 is about 14211.0908800134. The cubic root of 201955104 is about 586.7029580396.

The spelling of 201955104 in words is "two hundred one million, nine hundred fifty-five thousand, one hundred four".