101168200 has 96 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 34352640.

The previous prime is 101168189. The next prime is 101168201. The reversal of 101168200 is 2861101.

101168200 is a nontrivial binomial coefficient, being equal to C(14225, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101168201) 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 23 ways as a sum of consecutive naturals, for example, 177516 + ... + 178084.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^101168200 is an apocalyptic number.

101168200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101168200 is the 14224-th triangular number.

101168200 is the 4742-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101168200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

101168200 is an abundant number, since it is smaller than the sum of its proper divisors (170243000).

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

101168200 is a wasteful number, since it uses less digits than its factorization.

101168200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 101168200 is about 10058.2404027742. The cubic root of 101168200 is about 465.9593252273.

The spelling of 101168200 in words is "one hundred one million, one hundred sixty-eight thousand, two hundred".