10135757 has 8 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 9499072.

The previous prime is 10135681. The next prime is 10135771. The reversal of 10135757 is 75753101.

10135757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10135757 - 2⁸ = 10135501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3338 + ... + 5604.

It is an arithmetic number, because the mean of its divisors is an integer number (1347192).

Almost surely, 2^10135757 is an apocalyptic number.

10135757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10135757 is a deficient number, since it is larger than the sum of its proper divisors (641779).

10135757 is a wasteful number, since it uses less digits than its factorization.

10135757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 10135757 is about 3183.6703661026. The cubic root of 10135757 is about 216.4140221518.

Adding to 10135757 its reverse (75753101), we get a palindrome (85888858).

The spelling of 10135757 in words is "ten million, one hundred thirty-five thousand, seven hundred fifty-seven".