101757113 has 4 divisors (see below), whose sum is σ = 101927028. Its totient is φ = 101587200.

The previous prime is 101757091. The next prime is 101757119. The reversal of 101757113 is 311757101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311757101 = 17 ⋅18338653.

It can be written as a sum of positive squares in 2 ways, for example, as 74425129 + 27331984 = 8627^2 + 5228^2 .

It is a cyclic number.

It is not a de Polignac number, because 101757113 - 2¹² = 101753017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101757119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84056 + ... + 85257.

It is an arithmetic number, because the mean of its divisors is an integer number (25481757).

Almost surely, 2^101757113 is an apocalyptic number.

It is an amenable number.

101757113 is a deficient number, since it is larger than the sum of its proper divisors (169915).

101757113 is an equidigital number, since it uses as much as digits as its factorization.

101757113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169914.

The product of its (nonzero) digits is 735, while the sum is 26.

The square root of 101757113 is about 10087.4730730743. The cubic root of 101757113 is about 466.8617127424.

The spelling of 101757113 in words is "one hundred one million, seven hundred fifty-seven thousand, one hundred thirteen".