101531200 has 168 divisors, whose sum is σ = 272125440. Its totient is φ = 37171200.

The previous prime is 101531189. The next prime is 101531203. The reversal of 101531200 is 2135101.

It is not an unprimeable number, because it can be changed into a prime (101531203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140756 + ... + 1140844.

Almost surely, 2^101531200 is an apocalyptic number.

101531200 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 101531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

101531200 is an abundant number, since it is smaller than the sum of its proper divisors (170594240).

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

101531200 is a wasteful number, since it uses less digits than its factorization.

101531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101531200 is about 10076.2691508316. The cubic root of 101531200 is about 466.5159604062.

Adding to 101531200 its reverse (2135101), we get a palindrome (103666301).

The spelling of 101531200 in words is "one hundred one million, five hundred thirty-one thousand, two hundred".