107032200 has 96 divisors (see below), whose sum is σ = 361985760. Its totient is φ = 25945600.

The previous prime is 107032199. The next prime is 107032217. The reversal of 107032200 is 2230701.

It is a super-2 number, since 2×107032200² = 22911783673680000, which contains 22 as substring.

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 107032200.

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, 1509 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (3770685).

Almost surely, 2^107032200 is an apocalyptic number.

107032200 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 107032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180992880).

107032200 is an abundant number, since it is smaller than the sum of its proper divisors (254953560).

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

107032200 is a wasteful number, since it uses less digits than its factorization.

107032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 107032200 is about 10345.6367614565. The cubic root of 107032200 is about 474.7935575660.

Adding to 107032200 its reverse (2230701), we get a palindrome (109262901).

The spelling of 107032200 in words is "one hundred seven million, thirty-two thousand, two hundred".