10121364 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3009600.

The previous prime is 10121359. The next prime is 10121393. The reversal of 10121364 is 46312101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23947 + ... + 24365.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^10121364 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 10121364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10121364 is an abundant number, since it is smaller than the sum of its proper divisors (18314316).

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

10121364 is a wasteful number, since it uses less digits than its factorization.

10121364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10121364 is about 3181.4091217572. The cubic root of 10121364 is about 216.3115360533.

Adding to 10121364 its reverse (46312101), we get a palindrome (56433465).

The spelling of 10121364 in words is "ten million, one hundred twenty-one thousand, three hundred sixty-four".