101813200 has 120 divisors (see below), whose sum is σ = 258778080. Its totient is φ = 38438400.

The previous prime is 101813189. The next prime is 101813213. The reversal of 101813200 is 2318101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 777135 + ... + 777265.

It is an arithmetic number, because the mean of its divisors is an integer number (2156484).

Almost surely, 2^101813200 is an apocalyptic number.

101813200 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 101813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129389040).

101813200 is an abundant number, since it is smaller than the sum of its proper divisors (156964880).

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

101813200 is a wasteful number, since it uses less digits than its factorization.

101813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101813200 is about 10090.2527223058. The cubic root of 101813200 is about 466.9474727208.

The spelling of 101813200 in words is "one hundred one million, eight hundred thirteen thousand, two hundred".