100877141 has 2 divisors, whose sum is σ = 100877142. Its totient is φ = 100877140.

The previous prime is 100877129. The next prime is 100877159. The reversal of 100877141 is 141778001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95452900 + 5424241 = 9770^2 + 2329^2 .

It is an emirp because it is prime and its reverse (141778001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100877141 - 2²⁶ = 33768277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100877111) 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 as a sum of consecutive naturals, namely, 50438570 + 50438571.

It is an arithmetic number, because the mean of its divisors is an integer number (50438571).

Almost surely, 2^100877141 is an apocalyptic number.

It is an amenable number.

100877141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100877141 is an equidigital number, since it uses as much as digits as its factorization.

100877141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

The square root of 100877141 is about 10043.7612974423. The cubic root of 100877141 is about 465.5120439543.

The spelling of 100877141 in words is "one hundred million, eight hundred seventy-seven thousand, one hundred forty-one".