81107200 has 216 divisors, whose sum is σ = 228110400. Its totient is φ = 28385280.

The previous prime is 81107197. The next prime is 81107203. The reversal of 81107200 is 270118.

It is an interprime number because it is at equal distance from previous prime (81107197) and next prime (81107203).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81107203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796786 + ... + 2796814.

Almost surely, 2^81107200 is an apocalyptic number.

81107200 is a gapful number since it is divisible by the number (80) 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 81107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

81107200 is an abundant number, since it is smaller than the sum of its proper divisors (147003200).

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

81107200 is a wasteful number, since it uses less digits than its factorization.

81107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 81107200 is about 9005.9535863783. The cubic root of 81107200 is about 432.8656624476.

Adding to 81107200 its reverse (270118), we get a palindrome (81377318).

The spelling of 81107200 in words is "eighty-one million, one hundred seven thousand, two hundred".