10005815890 has 32 divisors (see below), whose sum is σ = 21085432704. Its totient is φ = 3346892160.

The previous prime is 10005815861. The next prime is 10005815969. The reversal of 10005815890 is 9851850001.

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, 1740304 + ... + 1746043.

It is an arithmetic number, because the mean of its divisors is an integer number (658919772).

Almost surely, 2^10005815890 is an apocalyptic number.

10005815890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005815890 is an abundant number, since it is smaller than the sum of its proper divisors (11079616814).

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

10005815890 is a wasteful number, since it uses less digits than its factorization.

10005815890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486402.

The product of its (nonzero) digits is 14400, while the sum is 37.

The spelling of 10005815890 in words is "ten billion, five million, eight hundred fifteen thousand, eight hundred ninety".