101132757 has 36 divisors (see below), whose sum is σ = 164822112. Its totient is φ = 59259600.

The previous prime is 101132753. The next prime is 101132777. The reversal of 101132757 is 757231101.

It is a happy number.

It is not a de Polignac number, because 101132757 - 2² = 101132753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101132757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132753) 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 35 ways as a sum of consecutive naturals, for example, 94608 + ... + 95670.

It is an arithmetic number, because the mean of its divisors is an integer number (4578392).

Almost surely, 2^101132757 is an apocalyptic number.

It is an amenable number.

101132757 is a deficient number, since it is larger than the sum of its proper divisors (63689355).

101132757 is a wasteful number, since it uses less digits than its factorization.

101132757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 101132757 is about 10056.4783597440. The cubic root of 101132757 is about 465.9049045518.

Adding to 101132757 its reverse (757231101), we get a palindrome (858363858).

The spelling of 101132757 in words is "one hundred one million, one hundred thirty-two thousand, seven hundred fifty-seven".