10104640 has 112 divisors (see below), whose sum is σ = 29699712. Its totient is φ = 3188736.

The previous prime is 10104631. The next prime is 10104641. The reversal of 10104640 is 4640101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28947 + ... + 29293.

It is an arithmetic number, because the mean of its divisors is an integer number (265176).

Almost surely, 2^10104640 is an apocalyptic number.

10104640 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 10104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849856).

10104640 is an abundant number, since it is smaller than the sum of its proper divisors (19595072).

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

10104640 is a wasteful number, since it uses less digits than its factorization.

10104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10104640 is about 3178.7796400506. The cubic root of 10104640 is about 216.1923298387.

Adding to 10104640 its reverse (4640101), we get a palindrome (14744741).

The spelling of 10104640 in words is "ten million, one hundred four thousand, six hundred forty".