201356100 has 243 divisors, whose sum is σ = 710240349. Its totient is φ = 47678400.

The previous prime is 201356047. The next prime is 201356101. The reversal of 201356100 is 1653102.

The square root of 201356100 is 14190.

It is a perfect power (a square), and thus also a powerful number.

201356100 is a `hidden beast` number, since 20 + 1 + 35 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72488196 + 128867904 = 8514^2 + 11352^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201356101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4682679 + ... + 4682721.

Almost surely, 2^201356100 is an apocalyptic number.

201356100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201356100 is the 14190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201356100

201356100 is an abundant number, since it is smaller than the sum of its proper divisors (508884249).

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

201356100 is a wasteful number, since it uses less digits than its factorization.

201356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 201356100 is about 586.1223249470.

The spelling of 201356100 in words is "two hundred one million, three hundred fifty-six thousand, one hundred".