10401100 has 36 divisors (see below), whose sum is σ = 23061024. Its totient is φ = 4070080.

The previous prime is 10401077. The next prime is 10401103. The reversal of 10401100 is 110401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3594 + ... + 5806.

It is an arithmetic number, because the mean of its divisors is an integer number (640584).

Almost surely, 2^10401100 is an apocalyptic number.

10401100 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 10401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530512).

10401100 is an abundant number, since it is smaller than the sum of its proper divisors (12659924).

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

10401100 is a wasteful number, since it uses less digits than its factorization.

10401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10401100 is about 3225.0736425700. The cubic root of 10401100 is about 218.2862720600.

Adding to 10401100 its reverse (110401), we get a palindrome (10511501).

It can be divided in two parts, 10401 and 100, that added together give a palindrome (10501).

The spelling of 10401100 in words is "ten million, four hundred one thousand, one hundred".