101830200 has 192 divisors, whose sum is σ = 338549760. Its totient is φ = 25259520.

The previous prime is 101830199. The next prime is 101830213. The reversal of 101830200 is 2038101.

It is a happy number.

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 101830200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648522 + ... + 648678.

It is an arithmetic number, because the mean of its divisors is an integer number (1763280).

Almost surely, 2^101830200 is an apocalyptic number.

101830200 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 101830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169274880).

101830200 is an abundant number, since it is smaller than the sum of its proper divisors (236719560).

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

101830200 is a wasteful number, since it uses less digits than its factorization.

101830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101830200 is about 10091.0950842810. The cubic root of 101830200 is about 466.9734603965.

Adding to 101830200 its reverse (2038101), we get a palindrome (103868301).

The spelling of 101830200 in words is "one hundred one million, eight hundred thirty thousand, two hundred".