106605777641 has 8 divisors (see below), whose sum is σ = 116313211200. Its totient is φ = 96901010640.

The previous prime is 106605777623. The next prime is 106605777647. The reversal of 106605777641 is 146777506601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106605777641 is a prime.

It is a super-2 number, since 2×106605777641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106605777641.

It is not an unprimeable number, because it can be changed into a prime (106605777647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582581 + ... + 743378.

It is an arithmetic number, because the mean of its divisors is an integer number (14539151400).

Almost surely, 2^106605777641 is an apocalyptic number.

106605777641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106605777641 is a deficient number, since it is larger than the sum of its proper divisors (9707433559).

106605777641 is a wasteful number, since it uses less digits than its factorization.

106605777641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333279.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 106605777641 in words is "one hundred six billion, six hundred five million, seven hundred seventy-seven thousand, six hundred forty-one".