10116400 has 60 divisors (see below), whose sum is σ = 27784432. Its totient is φ = 3467520.

The previous prime is 10116391. The next prime is 10116409. The reversal of 10116400 is 461101.

It is an interprime number because it is at equal distance from previous prime (10116391) and next prime (10116409).

It is not an unprimeable number, because it can be changed into a prime (10116409) 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 11 ways as a sum of consecutive naturals, for example, 994 + ... + 4606.

Almost surely, 2^10116400 is an apocalyptic number.

10116400 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 10116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892216).

10116400 is an abundant number, since it is smaller than the sum of its proper divisors (17668032).

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

10116400 is a wasteful number, since it uses less digits than its factorization.

10116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10116400 is about 3180.6288686359. The cubic root of 10116400 is about 216.2761671032.

Adding to 10116400 its reverse (461101), we get a palindrome (10577501).

The spelling of 10116400 in words is "ten million, one hundred sixteen thousand, four hundred".