107063824 has 120 divisors (see below), whose sum is σ = 265262040. Its totient is φ = 41545728.

The previous prime is 107063821. The next prime is 107063837. The reversal of 107063824 is 428360701.

It can be written as a sum of positive squares in 4 ways, for example, as 14288400 + 92775424 = 3780^2 + 9632^2 .

It is a super-2 number, since 2×107063824² = 22925324819005952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107063821) 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, 386374 + ... + 386650.

It is an arithmetic number, because the mean of its divisors is an integer number (2210517).

Almost surely, 2^107063824 is an apocalyptic number.

107063824 is a gapful number since it is divisible by the number (14) 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 107063824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132631020).

107063824 is an abundant number, since it is smaller than the sum of its proper divisors (158198216).

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

107063824 is a wasteful number, since it uses less digits than its factorization.

107063824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 107063824 is about 10347.1650223624. The cubic root of 107063824 is about 474.8403141898.

The spelling of 107063824 in words is "one hundred seven million, sixty-three thousand, eight hundred twenty-four".