107011824 has 40 divisors (see below), whose sum is σ = 288469632. Its totient is φ = 34119360.

The previous prime is 107011813. The next prime is 107011829. The reversal of 107011824 is 428110701.

It is a super-2 number, since 2×107011824² = 22903060951613952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 107011794 and 107011803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107011829) 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, 47362 + ... + 49569.

Almost surely, 2^107011824 is an apocalyptic number.

It is an amenable number.

107011824 is an abundant number, since it is smaller than the sum of its proper divisors (181457808).

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

107011824 is a wasteful number, since it uses less digits than its factorization.

107011824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96965 (or 96959 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 107011824 is about 10344.6519516125. The cubic root of 107011824 is about 474.7634264232.

The spelling of 107011824 in words is "one hundred seven million, eleven thousand, eight hundred twenty-four".