10114400 has 72 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3944960.

The previous prime is 10114399. The next prime is 10114409. The reversal of 10114400 is 441101.

10114400 = T₈₈₇ + T₈₈₈ + ... + T₉₁₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37466 + ... + 37734.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^10114400 is an apocalyptic number.

10114400 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 10114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10114400 is an abundant number, since it is smaller than the sum of its proper divisors (15196480).

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

10114400 is a wasteful number, since it uses less digits than its factorization.

10114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10114400 is about 3180.3144498618. The cubic root of 10114400 is about 216.2619136519.

Adding to 10114400 its reverse (441101), we get a palindrome (10555501).

The spelling of 10114400 in words is "ten million, one hundred fourteen thousand, four hundred".