10181424 has 60 divisors (see below), whose sum is σ = 28926968. Its totient is φ = 3083520.

The previous prime is 10181417. The next prime is 10181443. The reversal of 10181424 is 42418101.

10181424 = T₄₂ + T₄₃ + ... + T₃₉₃.

It is a happy number.

10181424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10181424² = 207322789335552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10181424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4932 + ... + 6684.

Almost surely, 2^10181424 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 10181424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463484).

10181424 is an abundant number, since it is smaller than the sum of its proper divisors (18745544).

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

10181424 is a wasteful number, since it uses less digits than its factorization.

10181424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10181424 is about 3190.8343736396. The cubic root of 10181424 is about 216.7385555007.

Adding to 10181424 its reverse (42418101), we get a palindrome (52599525).

It can be divided in two parts, 1018 and 1424, that added together give a palindrome (2442).

The spelling of 10181424 in words is "ten million, one hundred eighty-one thousand, four hundred twenty-four".