101742957 has 6 divisors (see below), whose sum is σ = 146962062. Its totient is φ = 67828632.

The previous prime is 101742941. The next prime is 101742973. The reversal of 101742957 is 759247101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101742941) and next prime (101742973).

It can be written as a sum of positive squares in only one way, i.e., 64545156 + 37197801 = 8034^2 + 6099^2 .

It is not a de Polignac number, because 101742957 - 2⁴ = 101742941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101744957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5652378 + ... + 5652395.

It is an arithmetic number, because the mean of its divisors is an integer number (24493677).

Almost surely, 2^101742957 is an apocalyptic number.

It is an amenable number.

101742957 is a deficient number, since it is larger than the sum of its proper divisors (45219105).

101742957 is a wasteful number, since it uses less digits than its factorization.

101742957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304779 (or 11304776 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 101742957 is about 10086.7713863258. The cubic root of 101742957 is about 466.8400624921.

It can be divided in two parts, 10174 and 2957, that added together give a palindrome (13131).

The spelling of 101742957 in words is "one hundred one million, seven hundred forty-two thousand, nine hundred fifty-seven".