100947841 has 2 divisors, whose sum is σ = 100947842. Its totient is φ = 100947840.

The previous prime is 100947839. The next prime is 100947907. The reversal of 100947841 is 148749001.

100947841 = 7104² + 7105².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50481025 + 50466816 = 7105^2 + 7104^2 .

It is a cyclic number.

It is not a de Polignac number, because 100947841 - 2¹ = 100947839 is a prime.

It is a super-2 number, since 2×100947841² = 20380933205122562, which contains 22 as substring.

Together with 100947839, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100947797 and 100947806.

It is not a weakly prime, because it can be changed into another prime (100947541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50473920 + 50473921.

It is an arithmetic number, because the mean of its divisors is an integer number (50473921).

Almost surely, 2^100947841 is an apocalyptic number.

100947841 is the 7105-th centered square number.

It is an amenable number.

100947841 is a deficient number, since it is larger than the sum of its proper divisors (1).

100947841 is an equidigital number, since it uses as much as digits as its factorization.

100947841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 100947841 is about 10047.2802787620. The cubic root of 100947841 is about 465.6207703233.

The spelling of 100947841 in words is "one hundred million, nine hundred forty-seven thousand, eight hundred forty-one".