105565978008 has 48 divisors (see below), whose sum is σ = 287994802680. Its totient is φ = 34931804544.

The previous prime is 105565977883. The next prime is 105565978009. The reversal of 105565978008 is 800879565501.

105565978008 is a `hidden beast` number, since 1 + 0 + 5 + 565 + 9 + 78 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×105565978008² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565978009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5341210 + ... + 5360937.

Almost surely, 2^105565978008 is an apocalyptic number.

105565978008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105565978008 is an abundant number, since it is smaller than the sum of its proper divisors (182428824672).

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

105565978008 is a wasteful number, since it uses less digits than its factorization.

105565978008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702296 (or 10702289 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 105565978008 in words is "one hundred five billion, five hundred sixty-five million, nine hundred seventy-eight thousand, eight".