100252541 has 2 divisors, whose sum is σ = 100252542. Its totient is φ = 100252540.

The previous prime is 100252517. The next prime is 100252567. The reversal of 100252541 is 145252001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 52441 = 10010^2 + 229^2 .

It is an emirp because it is prime and its reverse (145252001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100252541 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100252511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50126270 + 50126271.

It is an arithmetic number, because the mean of its divisors is an integer number (50126271).

Almost surely, 2^100252541 is an apocalyptic number.

It is an amenable number.

100252541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100252541 is an equidigital number, since it uses as much as digits as its factorization.

100252541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 100252541 is about 10012.6190879310. The cubic root of 100252541 is about 464.5492853990.

The spelling of 100252541 in words is "one hundred million, two hundred fifty-two thousand, five hundred forty-one".