10938100 has 36 divisors (see below), whose sum is σ = 24021900. Its totient is φ = 4322560.

The previous prime is 10938023. The next prime is 10938119. The reversal of 10938100 is 183901.

It can be written as a sum of positive squares in 6 ways, for example, as 8464 + 10929636 = 92^2 + 3306^2 .

It is a super-2 number, since 2×10938100² = 239284063220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8286 + ... + 9514.

It is an arithmetic number, because the mean of its divisors is an integer number (667275).

Almost surely, 2^10938100 is an apocalyptic number.

10938100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010950).

10938100 is an abundant number, since it is smaller than the sum of its proper divisors (13083800).

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

10938100 is a wasteful number, since it uses less digits than its factorization.

10938100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10938100 is about 3307.2798490603. The cubic root of 10938100 is about 221.9800593512.

The spelling of 10938100 in words is "ten million, nine hundred thirty-eight thousand, one hundred".