107401424 has 40 divisors (see below), whose sum is σ = 225792840. Its totient is φ = 49195008.

The previous prime is 107401423. The next prime is 107401429. The reversal of 107401424 is 424104701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17909824 + 89491600 = 4232^2 + 9460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107401424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107401423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26612 + ... + 30380.

It is an arithmetic number, because the mean of its divisors is an integer number (5644821).

Almost surely, 2^107401424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896420).

107401424 is an abundant number, since it is smaller than the sum of its proper divisors (118391416).

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

107401424 is a wasteful number, since it uses less digits than its factorization.

107401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 107401424 is about 10363.4658295379. The cubic root of 107401424 is about 475.3388887256.

The spelling of 107401424 in words is "one hundred seven million, four hundred one thousand, four hundred twenty-four".