201634406100 has 108 divisors (see below), whose sum is σ = 632329361664. Its totient is φ = 53742162240.

The previous prime is 201634406069. The next prime is 201634406119. The reversal of 201634406100 is 1604436102.

201634406100 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 3 + 4 + 40 + 610 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1769037 + ... + 1879563.

Almost surely, 2^201634406100 is an apocalyptic number.

201634406100 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 201634406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316164680832).

201634406100 is an abundant number, since it is smaller than the sum of its proper divisors (430694955564).

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

201634406100 is a wasteful number, since it uses less digits than its factorization.

201634406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112574 (or 112564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 201634406100 in words is "two hundred one billion, six hundred thirty-four million, four hundred six thousand, one hundred".