10187424 has 96 divisors (see below), whose sum is σ = 32034240. Its totient is φ = 3131136.

The previous prime is 10187399. The next prime is 10187473. The reversal of 10187424 is 42478101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10187424³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10779 + ... + 11685.

It is an arithmetic number, because the mean of its divisors is an integer number (333690).

Almost surely, 2^10187424 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 10187424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017120).

10187424 is an abundant number, since it is smaller than the sum of its proper divisors (21846816).

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

10187424 is a wasteful number, since it uses less digits than its factorization.

10187424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10187424 is about 3191.7744281199. The cubic root of 10187424 is about 216.7811224332.

The spelling of 10187424 in words is "ten million, one hundred eighty-seven thousand, four hundred twenty-four".