10124416 has 64 divisors (see below), whose sum is σ = 22276800. Its totient is φ = 4561920.

The previous prime is 10124407. The next prime is 10124449. The reversal of 10124416 is 61442101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10124393 and 10124402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55846 + ... + 56026.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^10124416 is an apocalyptic number.

10124416 is a gapful number since it is divisible by the number (16) 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 10124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

10124416 is an abundant number, since it is smaller than the sum of its proper divisors (12152384).

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

10124416 is a wasteful number, since it uses less digits than its factorization.

10124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10124416 is about 3181.8887472695. Note that the first 3 decimals coincide. The cubic root of 10124416 is about 216.3332760896. Note that the first 3 decimals are identical.

Adding to 10124416 its reverse (61442101), we get a palindrome (71566517).

The spelling of 10124416 in words is "ten million, one hundred twenty-four thousand, four hundred sixteen".