103631824 has 20 divisors (see below), whose sum is σ = 200944480. Its totient is φ = 51775200.

The previous prime is 103631809. The next prime is 103631831. The reversal of 103631824 is 428136301.

It is a super-3 number, since 3×103631824³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103631792 and 103631801.

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 3 ways as a sum of consecutive naturals, for example, 39349 + ... + 41899.

It is an arithmetic number, because the mean of its divisors is an integer number (10047224).

Almost surely, 2^103631824 is an apocalyptic number.

It is an amenable number.

103631824 is a deficient number, since it is larger than the sum of its proper divisors (97312656).

103631824 is a wasteful number, since it uses less digits than its factorization.

103631824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 103631824 is about 10179.9717091945. The cubic root of 103631824 is about 469.7113422940.

The spelling of 103631824 in words is "one hundred three million, six hundred thirty-one thousand, eight hundred twenty-four".