101104200 has 180 divisors, whose sum is σ = 355651065. Its totient is φ = 26619840.

The previous prime is 101104181. The next prime is 101104207. The reversal of 101104200 is 2401101.

It is a happy number.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 2022084 = 9954^2 + 1422^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7110.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101104207) 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 44 ways as a sum of consecutive naturals, for example, 1279761 + ... + 1279839.

Almost surely, 2^101104200 is an apocalyptic number.

101104200 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 101104200

101104200 is an abundant number, since it is smaller than the sum of its proper divisors (254546865).

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

101104200 is an equidigital number, since it uses as much as digits as its factorization.

101104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101104200 is about 10055.0584284727. The cubic root of 101104200 is about 465.8610476807.

Adding to 101104200 its reverse (2401101), we get a palindrome (103505301).

The spelling of 101104200 in words is "one hundred one million, one hundred four thousand, two hundred".