107824472 has 64 divisors (see below), whose sum is σ = 249376320. Its totient is φ = 42651648.

The previous prime is 107824463. The next prime is 107824501. The reversal of 107824472 is 274428701.

It is a happy number.

It is a super-2 number, since 2×107824472² = 23252233524157568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49388 + ... + 51524.

It is an arithmetic number, because the mean of its divisors is an integer number (3896505).

Almost surely, 2^107824472 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 107824472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124688160).

107824472 is an abundant number, since it is smaller than the sum of its proper divisors (141551848).

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

107824472 is a wasteful number, since it uses less digits than its factorization.

107824472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 107824472 is about 10383.8563164173. The cubic root of 107824472 is about 475.9621818694.

The spelling of 107824472 in words is "one hundred seven million, eight hundred twenty-four thousand, four hundred seventy-two".