1000090100 has 36 divisors (see below), whose sum is σ = 2172402624. Its totient is φ = 399629280.

The previous prime is 1000090073. The next prime is 1000090121. The reversal of 1000090100 is 10900001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105767 + ... + 114833.

Almost surely, 2^1000090100 is an apocalyptic number.

1000090100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000090100 is an abundant number, since it is smaller than the sum of its proper divisors (1172312524).

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

1000090100 is a wasteful number, since it uses less digits than its factorization.

1000090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1000090100 is about 31624.2011756819. The cubic root of 1000090100 is about 1000.0300324314.

Adding to 1000090100 its reverse (10900001), we get a palindrome (1010990101).

The spelling of 1000090100 in words is "one billion, ninety thousand, one hundred".