10135760 has 80 divisors (see below), whose sum is σ = 25093632. Its totient is φ = 3801600.

The previous prime is 10135681. The next prime is 10135771. The reversal of 10135760 is 6753101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151247 + ... + 151313.

Almost surely, 2^10135760 is an apocalyptic number.

10135760 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 10135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546816).

10135760 is an abundant number, since it is smaller than the sum of its proper divisors (14957872).

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

10135760 is a wasteful number, since it uses less digits than its factorization.

10135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 10135760 is about 3183.6708372569. The cubic root of 10135760 is about 216.4140435033.

Adding to 10135760 its reverse (6753101), we get a palindrome (16888861).

The spelling of 10135760 in words is "ten million, one hundred thirty-five thousand, seven hundred sixty".