106676743443377 has 32 divisors (see below), whose sum is σ = 112828031969280. Its totient is φ = 100730949096960.

The previous prime is 106676743443359. The next prime is 106676743443397. The reversal of 106676743443377 is 773344347676601.

It is a cyclic number.

It is not a de Polignac number, because 106676743443377 - 2¹² = 106676743439281 is a prime.

It is a super-2 number, since 2×106676743443377² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106676743443397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80706068 + ... + 82017210.

It is an arithmetic number, because the mean of its divisors is an integer number (3525875999040).

Almost surely, 2^{106676743443377} is an apocalyptic number.

It is an amenable number.

106676743443377 is a deficient number, since it is larger than the sum of its proper divisors (6151288525903).

106676743443377 is a wasteful number, since it uses less digits than its factorization.

106676743443377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311633.

The product of its (nonzero) digits is 896168448, while the sum is 68.

The spelling of 106676743443377 in words is "one hundred six trillion, six hundred seventy-six billion, seven hundred forty-three million, four hundred forty-three thousand, three hundred seventy-seven".