10136032200 has 540 divisors, whose sum is σ = 41317133715. Its totient is φ = 2296304640.

The previous prime is 10136032187. The next prime is 10136032253. The reversal of 10136032200 is 223063101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10136032200 is a `hidden beast` number, since 101 + 360 + 3 + 2 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 777924 + 10135254276 = 882^2 + 100674^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71190.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 89699344 + ... + 89699456.

Almost surely, 2^10136032200 is an apocalyptic number.

10136032200 is a gapful number since it is divisible by the number (10) 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 10136032200

10136032200 is an abundant number, since it is smaller than the sum of its proper divisors (31181101515).

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

10136032200 is a wasteful number, since it uses less digits than its factorization.

10136032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Multiplying 10136032200 by its sum of digits (18), we get a square (182448579600 = 427140²).

10136032200 divided by its sum of digits (18) gives a square (563112900 = 23730²).

Adding to 10136032200 its reverse (223063101), we get a palindrome (10359095301).

The spelling of 10136032200 in words is "ten billion, one hundred thirty-six million, thirty-two thousand, two hundred".