10129042 has 64 divisors (see below), whose sum is σ = 20715264. Its totient is φ = 3594240.

The previous prime is 10129019. The next prime is 10129057. The reversal of 10129042 is 24092101.

10129042 = T₁₈₈ + T₁₈₉ + ... + T₄₀₆.

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 31 ways as a sum of consecutive naturals, for example, 138718 + ... + 138790.

It is an arithmetic number, because the mean of its divisors is an integer number (323676).

Almost surely, 2^10129042 is an apocalyptic number.

10129042 is an abundant number, since it is smaller than the sum of its proper divisors (10586222).

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

10129042 is a wasteful number, since it uses less digits than its factorization.

10129042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

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

The square root of 10129042 is about 3182.6155909880. The cubic root of 10129042 is about 216.3662197298.

The spelling of 10129042 in words is "ten million, one hundred twenty-nine thousand, forty-two".