100132657 has 2 divisors, whose sum is σ = 100132658. Its totient is φ = 100132656.

The previous prime is 100132631. The next prime is 100132661. The reversal of 100132657 is 756231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62236321 + 37896336 = 7889^2 + 6156^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132657 - 2¹⁵ = 100099889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100132667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066328 + 50066329.

It is an arithmetic number, because the mean of its divisors is an integer number (50066329).

Almost surely, 2^100132657 is an apocalyptic number.

It is an amenable number.

100132657 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132657 is an equidigital number, since it uses as much as digits as its factorization.

100132657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 100132657 is about 10006.6306517229. The cubic root of 100132657 is about 464.3640390868.

Adding to 100132657 its reverse (756231001), we get a palindrome (856363658).

The spelling of 100132657 in words is "one hundred million, one hundred thirty-two thousand, six hundred fifty-seven".