101600200 has 96 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 35861760.

The previous prime is 101600171. The next prime is 101600227. The reversal of 101600200 is 2006101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 58951 + ... + 60649.

It is an arithmetic number, because the mean of its divisors is an integer number (2766750).

Almost surely, 2^101600200 is an apocalyptic number.

101600200 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 101600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

101600200 is an abundant number, since it is smaller than the sum of its proper divisors (164007800).

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

101600200 is a wasteful number, since it uses less digits than its factorization.

101600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101600200 is about 10079.6924556258. The cubic root of 101600200 is about 466.6216169665.

Adding to 101600200 its reverse (2006101), we get a palindrome (103606301).

The spelling of 101600200 in words is "one hundred one million, six hundred thousand, two hundred".