106002977 has 2 divisors, whose sum is σ = 106002978. Its totient is φ = 106002976.

The previous prime is 106002943. The next prime is 106002979. The reversal of 106002977 is 779200601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84621601 + 21381376 = 9199^2 + 4624^2 .

It is a cyclic number.

It is not a de Polignac number, because 106002977 - 2⁶ = 106002913 is a prime.

It is a super-2 number, since 2×106002977² = 22473262265725058, which contains 22 as substring.

Together with 106002979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106002979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53001488 + 53001489.

It is an arithmetic number, because the mean of its divisors is an integer number (53001489).

Almost surely, 2^106002977 is an apocalyptic number.

It is an amenable number.

106002977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106002977 is an equidigital number, since it uses as much as digits as its factorization.

106002977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 106002977 is about 10295.7747158725. The cubic root of 106002977 is about 473.2667795843.

The spelling of 106002977 in words is "one hundred six million, two thousand, nine hundred seventy-seven".