10121760 has 240 divisors, whose sum is σ = 39517632. Its totient is φ = 2419200.

The previous prime is 10121743. The next prime is 10121777. The reversal of 10121760 is 6712101.

It is an interprime number because it is at equal distance from previous prime (10121743) and next prime (10121777).

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 142525 + ... + 142595.

Almost surely, 2^10121760 is an apocalyptic number.

10121760 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 10121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

10121760 is an abundant number, since it is smaller than the sum of its proper divisors (29395872).

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

10121760 is a wasteful number, since it uses less digits than its factorization.

10121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10121760 is about 3181.4713577211. The cubic root of 10121760 is about 216.3143570911.

Adding to 10121760 its reverse (6712101), we get a palindrome (16833861).

It can be divided in two parts, 1012 and 1760, that added together give a palindrome (2772).

The spelling of 10121760 in words is "ten million, one hundred twenty-one thousand, seven hundred sixty".