10121580 has 144 divisors (see below), whose sum is σ = 36429120. Its totient is φ = 2225664.

The previous prime is 10121561. The next prime is 10121603. The reversal of 10121580 is 8512101.

10121580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36402 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (252980).

Almost surely, 2^10121580 is an apocalyptic number.

10121580 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 10121580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214560).

10121580 is an abundant number, since it is smaller than the sum of its proper divisors (26307540).

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

10121580 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10121579) it forms an eRAP, since the sums of their prime factors are consecutive (327 and 328).

10121580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10121580 is about 3181.4430687976. The cubic root of 10121580 is about 216.3130748103.

Adding to 10121580 its reverse (8512101), we get a palindrome (18633681).

It can be divided in two parts, 10121 and 580, that added together give a palindrome (10701).

The spelling of 10121580 in words is "ten million, one hundred twenty-one thousand, five hundred eighty".