105984947 has 2 divisors, whose sum is σ = 105984948. Its totient is φ = 105984946.

The previous prime is 105984917. The next prime is 105984961. The reversal of 105984947 is 749489501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105984947 - 2⁶ = 105984883 is a prime.

It is a super-2 number, since 2×105984947² = 22465617981185618, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105984917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52992473 + 52992474.

It is an arithmetic number, because the mean of its divisors is an integer number (52992474).

Almost surely, 2^105984947 is an apocalyptic number.

105984947 is a deficient number, since it is larger than the sum of its proper divisors (1).

105984947 is an equidigital number, since it uses as much as digits as its factorization.

105984947 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 105984947 is about 10294.8990767273. The cubic root of 105984947 is about 473.2399454830.

The spelling of 105984947 in words is "one hundred five million, nine hundred eighty-four thousand, nine hundred forty-seven".