106741004777 has 16 divisors (see below), whose sum is σ = 119802326400. Its totient is φ = 94248512640.

The previous prime is 106741004767. The next prime is 106741004791. The reversal of 106741004777 is 777400147601.

It is a cyclic number.

It is not a de Polignac number, because 106741004777 - 2¹⁶ = 106740939241 is a prime.

It is a super-2 number, since 2×106741004777² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106741004707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124 + ... + 462042.

It is an arithmetic number, because the mean of its divisors is an integer number (7487645400).

Almost surely, 2^106741004777 is an apocalyptic number.

It is an amenable number.

106741004777 is a deficient number, since it is larger than the sum of its proper divisors (13061321623).

106741004777 is a wasteful number, since it uses less digits than its factorization.

106741004777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461536.

The product of its (nonzero) digits is 230496, while the sum is 44.

The spelling of 106741004777 in words is "one hundred six billion, seven hundred forty-one million, four thousand, seven hundred seventy-seven".