101103200 has 72 divisors (see below), whose sum is σ = 269279640. Its totient is φ = 36761600.

The previous prime is 101103187. The next prime is 101103209. The reversal of 101103200 is 2301101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103209) 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 11 ways as a sum of consecutive naturals, for example, 3056 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (3739995).

Almost surely, 2^101103200 is an apocalyptic number.

101103200 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 101103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134639820).

101103200 is an abundant number, since it is smaller than the sum of its proper divisors (168176440).

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

101103200 is a wasteful number, since it uses less digits than its factorization.

101103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101103200 is about 10055.0087021345. The cubic root of 101103200 is about 465.8595117650.

Adding to 101103200 its reverse (2301101), we get a palindrome (103404301).

It can be divided in two parts, 101 and 103200, that added together give a palindrome (103301).

The spelling of 101103200 in words is "one hundred one million, one hundred three thousand, two hundred".