100106641 has 2 divisors, whose sum is σ = 100106642. Its totient is φ = 100106640.

The previous prime is 100106639. The next prime is 100106651. The reversal of 100106641 is 146601001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92929600 + 7177041 = 9640^2 + 2679^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106641 - 2¹ = 100106639 is a prime.

Together with 100106639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100106651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053320 + 50053321.

It is an arithmetic number, because the mean of its divisors is an integer number (50053321).

Almost surely, 2^100106641 is an apocalyptic number.

It is an amenable number.

100106641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106641 is an equidigital number, since it uses as much as digits as its factorization.

100106641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100106641 is about 10005.3306292196. The cubic root of 100106641 is about 464.3238193037.

Adding to 100106641 its reverse (146601001), we get a palindrome (246707642).

The spelling of 100106641 in words is "one hundred million, one hundred six thousand, six hundred forty-one".