10138100 has 54 divisors (see below), whose sum is σ = 25603830. Its totient is φ = 3474240.

The previous prime is 10138099. The next prime is 10138127. The reversal of 10138100 is 183101.

It can be written as a sum of positive squares in 3 ways, for example, as 38416 + 10099684 = 196^2 + 3178^2 .

It is a super-2 number, since 2×10138100² = 205562143220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 17 ways as a sum of consecutive naturals, for example, 3866 + ... + 5934.

It is an arithmetic number, because the mean of its divisors is an integer number (474145).

Almost surely, 2^10138100 is an apocalyptic number.

10138100 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 10138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801915).

10138100 is an abundant number, since it is smaller than the sum of its proper divisors (15465730).

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

10138100 is a wasteful number, since it uses less digits than its factorization.

10138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 10138100 is about 3184.0383163524. The cubic root of 10138100 is about 216.4306964198.

The spelling of 10138100 in words is "ten million, one hundred thirty-eight thousand, one hundred".