201434100 has 216 divisors, whose sum is σ = 691080768. Its totient is φ = 45158400.

The previous prime is 201434089. The next prime is 201434117. The reversal of 201434100 is 1434102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201434100.

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, 1043604 + ... + 1043796.

It is an arithmetic number, because the mean of its divisors is an integer number (3199448).

Almost surely, 2^201434100 is an apocalyptic number.

201434100 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 201434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345540384).

201434100 is an abundant number, since it is smaller than the sum of its proper divisors (489646668).

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

201434100 is a wasteful number, since it uses less digits than its factorization.

201434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201434100 is about 14192.7481482622. The cubic root of 201434100 is about 586.1979979121.

Adding to 201434100 its reverse (1434102), we get a palindrome (202868202).

The spelling of 201434100 in words is "two hundred one million, four hundred thirty-four thousand, one hundred".