10438100 has 18 divisors (see below), whose sum is σ = 22650894. Its totient is φ = 4175200.

The previous prime is 10438097. The next prime is 10438111. The reversal of 10438100 is 183401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1281424 + 9156676 = 1132^2 + 3026^2 .

It is a super-2 number, since 2×10438100² = 217907863220000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 52091 + ... + 52290.

It is an arithmetic number, because the mean of its divisors is an integer number (1258383).

Almost surely, 2^10438100 is an apocalyptic number.

10438100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10438100 is an abundant number, since it is smaller than the sum of its proper divisors (12212794).

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

10438100 is a wasteful number, since it uses less digits than its factorization.

10438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104395 (or 104388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10438100 is about 3230.8048532835. The cubic root of 10438100 is about 218.5448034958.

The spelling of 10438100 in words is "ten million, four hundred thirty-eight thousand, one hundred".