101533200 has 120 divisors (see below), whose sum is σ = 327601056. Its totient is φ = 26880000.

The previous prime is 101533199. The next prime is 101533259. The reversal of 101533200 is 2335101.

It is a happy number.

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 101533200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253000 + ... + 253400.

Almost surely, 2^101533200 is an apocalyptic number.

101533200 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 101533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800528).

101533200 is an abundant number, since it is smaller than the sum of its proper divisors (226067856).

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

101533200 is a wasteful number, since it uses less digits than its factorization.

101533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101533200 is about 10076.3683934243. The cubic root of 101533200 is about 466.5190235887.

Adding to 101533200 its reverse (2335101), we get a palindrome (103868301).

The spelling of 101533200 in words is "one hundred one million, five hundred thirty-three thousand, two hundred".