107424100 has 144 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 33868800.

The previous prime is 107424077. The next prime is 107424101. The reversal of 107424100 is 1424701.

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

It is not an unprimeable number, because it can be changed into a prime (107424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545202 + ... + 545398.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^107424100 is an apocalyptic number.

107424100 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 107424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

107424100 is an abundant number, since it is smaller than the sum of its proper divisors (181307420).

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

107424100 is a wasteful number, since it uses less digits than its factorization.

107424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 107424100 is about 10364.5598073435. The cubic root of 107424100 is about 475.3723396357.

Adding to 107424100 its reverse (1424701), we get a palindrome (108848801).

The spelling of 107424100 in words is "one hundred seven million, four hundred twenty-four thousand, one hundred".