100825441 has 2 divisors, whose sum is σ = 100825442. Its totient is φ = 100825440.

The previous prime is 100825433. The next prime is 100825499. The reversal of 100825441 is 144528001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55935441 + 44890000 = 7479^2 + 6700^2 .

It is a cyclic number.

It is not a de Polignac number, because 100825441 - 2³ = 100825433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100825421) 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, 50412720 + 50412721.

It is an arithmetic number, because the mean of its divisors is an integer number (50412721).

Almost surely, 2^100825441 is an apocalyptic number.

It is an amenable number.

100825441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100825441 is an equidigital number, since it uses as much as digits as its factorization.

100825441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 100825441 is about 10041.1872306018. The cubic root of 100825441 is about 465.4325046749.

The spelling of 100825441 in words is "one hundred million, eight hundred twenty-five thousand, four hundred forty-one".