10121604 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 3157920.

The previous prime is 10121603. The next prime is 10121611. The reversal of 10121604 is 40612101.

It is not an unprimeable number, because it can be changed into a prime (10121603) 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, 23269 + ... + 23699.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^10121604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

10121604 is an abundant number, since it is smaller than the sum of its proper divisors (15038076).

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

10121604 is a wasteful number, since it uses less digits than its factorization.

10121604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10121604 is about 3181.4468406686. The cubic root of 10121604 is about 216.3132457820.

Adding to 10121604 its reverse (40612101), we get a palindrome (50733705).

The spelling of 10121604 in words is "ten million, one hundred twenty-one thousand, six hundred four".