105977005669 has 8 divisors (see below), whose sum is σ = 106599460320. Its totient is φ = 105354889200.

The previous prime is 105977005649. The next prime is 105977005709. The reversal of 105977005669 is 966500779501.

It is a happy number.

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

It is not a de Polignac number, because 105977005669 - 2⁹ = 105977005157 is a prime.

It is a super-2 number, since 2×105977005669² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977005649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558334 + ... + 723664.

It is an arithmetic number, because the mean of its divisors is an integer number (13324932540).

Almost surely, 2^105977005669 is an apocalyptic number.

It is an amenable number.

105977005669 is a deficient number, since it is larger than the sum of its proper divisors (622454651).

105977005669 is a wasteful number, since it uses less digits than its factorization.

105977005669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169091.

The product of its (nonzero) digits is 3572100, while the sum is 55.

The spelling of 105977005669 in words is "one hundred five billion, nine hundred seventy-seven million, five thousand, six hundred sixty-nine".