100313757 has 12 divisors (see below), whose sum is σ = 148432284. Its totient is φ = 65244480.

The previous prime is 100313701. The next prime is 100313767. The reversal of 100313757 is 757313001.

It can be written as a sum of positive squares in 2 ways, for example, as 3606201 + 96707556 = 1899^2 + 9834^2 .

It is not a de Polignac number, because 100313757 - 2⁶ = 100313693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100313757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135558 + ... + 136295.

It is an arithmetic number, because the mean of its divisors is an integer number (12369357).

Almost surely, 2^100313757 is an apocalyptic number.

It is an amenable number.

100313757 is a deficient number, since it is larger than the sum of its proper divisors (48118527).

100313757 is a wasteful number, since it uses less digits than its factorization.

100313757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271900 (or 271897 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 100313757 is about 10015.6755638349. The cubic root of 100313757 is about 464.6438202025.

Adding to 100313757 its reverse (757313001), we get a palindrome (857626758).

The spelling of 100313757 in words is "one hundred million, three hundred thirteen thousand, seven hundred fifty-seven".