10010829010 has 32 divisors (see below), whose sum is σ = 22177838592. Its totient is φ = 3168262080.

The previous prime is 10010829007. The next prime is 10010829047. The reversal of 10010829010 is 1092801001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5499546 + ... + 5501365.

It is an arithmetic number, because the mean of its divisors is an integer number (693057456).

Almost surely, 2^10010829010 is an apocalyptic number.

10010829010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010829010 is an abundant number, since it is smaller than the sum of its proper divisors (12167009582).

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

10010829010 is a wasteful number, since it uses less digits than its factorization.

10010829010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000938.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10010829010 in words is "ten billion, ten million, eight hundred twenty-nine thousand, ten".