100627441 has 2 divisors, whose sum is σ = 100627442. Its totient is φ = 100627440.

The previous prime is 100627433. The next prime is 100627447. The reversal of 100627441 is 144726001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67897600 + 32729841 = 8240^2 + 5721^2 .

It is a cyclic number.

It is not a de Polignac number, because 100627441 - 2³ = 100627433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100627447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50313720 + 50313721.

It is an arithmetic number, because the mean of its divisors is an integer number (50313721).

Almost surely, 2^100627441 is an apocalyptic number.

It is an amenable number.

100627441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100627441 is an equidigital number, since it uses as much as digits as its factorization.

100627441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 100627441 is about 10031.3229935039. The cubic root of 100627441 is about 465.1276344434.

The spelling of 100627441 in words is "one hundred million, six hundred twenty-seven thousand, four hundred forty-one".