10001790900 has 90 divisors (see below), whose sum is σ = 32421881030. Its totient is φ = 2667142080.

The previous prime is 10001790899. The next prime is 10001790917. The reversal of 10001790900 is 909710001.

10001790900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 655155216 + 9346635684 = 25596^2 + 96678^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 609295 + ... + 625494.

Almost surely, 2^10001790900 is an apocalyptic number.

10001790900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001790900 is an abundant number, since it is smaller than the sum of its proper divisors (22420090130).

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

10001790900 is a wasteful number, since it uses less digits than its factorization.

10001790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234815 (or 1234799 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The spelling of 10001790900 in words is "ten billion, one million, seven hundred ninety thousand, nine hundred".