10114140 has 48 divisors (see below), whose sum is σ = 28617120. Its totient is φ = 2668800.

The previous prime is 10114129. The next prime is 10114141. The reversal of 10114140 is 4141101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114141) 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 15 ways as a sum of consecutive naturals, for example, 5226 + ... + 6894.

It is an arithmetic number, because the mean of its divisors is an integer number (596190).

Almost surely, 2^10114140 is an apocalyptic number.

10114140 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 10114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308560).

10114140 is an abundant number, since it is smaller than the sum of its proper divisors (18502980).

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

10114140 is a wasteful number, since it uses less digits than its factorization.

10114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10114140 is about 3180.2735731380. The cubic root of 10114140 is about 216.2600605653.

Adding to 10114140 its reverse (4141101), we get a palindrome (14255241).

It can be divided in two parts, 1011 and 4140, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 10114140 in words is "ten million, one hundred fourteen thousand, one hundred forty".