105782610078 has 12 divisors (see below), whose sum is σ = 229195655208. Its totient is φ = 35260870020.

The previous prime is 105782610077. The next prime is 105782610097. The reversal of 105782610078 is 870016287501.

It is a happy number.

105782610078 is a `hidden beast` number, since 1 + 0 + 578 + 2 + 6 + 1 + 0 + 0 + 78 = 666.

It is a super-2 number, since 2×105782610078² (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 (105782610071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2938405818 + ... + 2938405853.

It is an arithmetic number, because the mean of its divisors is an integer number (19099637934).

Almost surely, 2^105782610078 is an apocalyptic number.

105782610078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105782610078 is an abundant number, since it is smaller than the sum of its proper divisors (123413045130).

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

105782610078 is a wasteful number, since it uses less digits than its factorization.

105782610078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876811679 (or 5876811676 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 105782610078 its reverse (870016287501), we get a palindrome (975798897579).

The spelling of 105782610078 in words is "one hundred five billion, seven hundred eighty-two million, six hundred ten thousand, seventy-eight".