10129416 has 128 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2764800.

The previous prime is 10129411. The next prime is 10129429. The reversal of 10129416 is 61492101.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166026 + ... + 166086.

It is an arithmetic number, because the mean of its divisors is an integer number (238545).

Almost surely, 2^10129416 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 10129416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

10129416 is an abundant number, since it is smaller than the sum of its proper divisors (20404344).

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

10129416 is a wasteful number, since it uses less digits than its factorization.

10129416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10129416 is about 3182.6743471490. The cubic root of 10129416 is about 216.3688826986.

The spelling of 10129416 in words is "ten million, one hundred twenty-nine thousand, four hundred sixteen".