201015600 has 120 divisors (see below), whose sum is σ = 649482240. Its totient is φ = 53141760.

The previous prime is 201015593. The next prime is 201015601. The reversal of 201015600 is 6510102.

201015600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 201015600.

It is not an unprimeable number, because it can be changed into a prime (201015601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151741 + ... + 153059.

It is an arithmetic number, because the mean of its divisors is an integer number (5412352).

Almost surely, 2^201015600 is an apocalyptic number.

201015600 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 201015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324741120).

201015600 is an abundant number, since it is smaller than the sum of its proper divisors (448466640).

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

201015600 is a wasteful number, since it uses less digits than its factorization.

201015600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 201015600 is about 14177.9970376637. The cubic root of 201015600 is about 585.7917542925.

Adding to 201015600 its reverse (6510102), we get a palindrome (207525702).

The spelling of 201015600 in words is "two hundred one million, fifteen thousand, six hundred".