10010400 has 144 divisors (see below), whose sum is σ = 33685344. Its totient is φ = 2580480.

The previous prime is 10010393. The next prime is 10010401. The reversal of 10010400 is 401001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10010401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 103152 + ... + 103248.

It is an arithmetic number, because the mean of its divisors is an integer number (233926).

Almost surely, 2^10010400 is an apocalyptic number.

10010400 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 10010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842672).

10010400 is an abundant number, since it is smaller than the sum of its proper divisors (23674944).

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

10010400 is a wasteful number, since it uses less digits than its factorization.

10010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10010400 is about 3163.9216172339. The cubic root of 10010400 is about 215.5181301959.

Adding to 10010400 its reverse (401001), we get a palindrome (10411401).

The spelling of 10010400 in words is "ten million, ten thousand, four hundred".