105977005668 has 48 divisors (see below), whose sum is σ = 275248632960. Its totient is φ = 35262227232.

The previous prime is 105977005649. The next prime is 105977005709. The reversal of 105977005668 is 866500779501.

105977005668 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 7 + 70 + 0 + 566 + 8 = 666.

It is a super-2 number, since 2×105977005668² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 820696 + ... + 941007.

It is an arithmetic number, because the mean of its divisors is an integer number (5734346520).

Almost surely, 2^105977005668 is an apocalyptic number.

105977005668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105977005668 is an abundant number, since it is smaller than the sum of its proper divisors (169271627292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105977005668 is a wasteful number, since it uses less digits than its factorization.

105977005668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762273 (or 1762265 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 105977005668 in words is "one hundred five billion, nine hundred seventy-seven million, five thousand, six hundred sixty-eight".