10388900 has 18 divisors (see below), whose sum is σ = 22544130. Its totient is φ = 4155520.

The previous prime is 10388891. The next prime is 10388923. The reversal of 10388900 is 988301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1183744 + 9205156 = 1088^2 + 3034^2 .

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 5 ways as a sum of consecutive naturals, for example, 51845 + ... + 52044.

Almost surely, 2^10388900 is an apocalyptic number.

10388900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10388900 is an abundant number, since it is smaller than the sum of its proper divisors (12155230).

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

10388900 is a wasteful number, since it uses less digits than its factorization.

10388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103903 (or 103896 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10388900 is about 3223.1816579275. The cubic root of 10388900 is about 218.2008921666.

The spelling of 10388900 in words is "ten million, three hundred eighty-eight thousand, nine hundred".