105780958308 has 72 divisors (see below), whose sum is σ = 277432853880. Its totient is φ = 33943311360.

The previous prime is 105780958267. The next prime is 105780958313. The reversal of 105780958308 is 803859087501.

105780958308 is a `hidden beast` number, since 1 + 0 + 57 + 8 + 0 + 9 + 583 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 777740544 + 105003217764 = 27888^2 + 324042^2 .

It is a super-2 number, since 2×105780958308² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201498 + ... + 502158.

Almost surely, 2^105780958308 is an apocalyptic number.

105780958308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105780958308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138716426940).

105780958308 is an abundant number, since it is smaller than the sum of its proper divisors (171651895572).

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

105780958308 is a wasteful number, since it uses less digits than its factorization.

105780958308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301037 (or 301032 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 105780958308 in words is "one hundred five billion, seven hundred eighty million, nine hundred fifty-eight thousand, three hundred eight".