10429120 has 112 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 3649536.

The previous prime is 10429087. The next prime is 10429121. The reversal of 10429120 is 2192401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95626 + ... + 95734.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 2^10429120 is an apocalyptic number.

10429120 is a gapful number since it is divisible by the number (10) 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 10429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

10429120 is an abundant number, since it is smaller than the sum of its proper divisors (17734400).

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

10429120 is a wasteful number, since it uses less digits than its factorization.

10429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10429120 is about 3229.4148076703. The cubic root of 10429120 is about 218.4821134341.

The spelling of 10429120 in words is "ten million, four hundred twenty-nine thousand, one hundred twenty".