105678952520 has 16 divisors (see below), whose sum is σ = 237777643260. Its totient is φ = 42271580992.

The previous prime is 105678952517. The next prime is 105678952597. The reversal of 105678952520 is 25259876501.

105678952520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103698168484 + 1980784036 = 322022^2 + 44506^2 .

It is a super-2 number, since 2×105678952520² (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 (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320986867 + ... + 1320986946.

Almost surely, 2^105678952520 is an apocalyptic number.

105678952520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105678952520 is an abundant number, since it is smaller than the sum of its proper divisors (132098690740).

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

105678952520 is a wasteful number, since it uses less digits than its factorization.

105678952520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641973824 (or 2641973820 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 50.

The spelling of 105678952520 in words is "one hundred five billion, six hundred seventy-eight million, nine hundred fifty-two thousand, five hundred twenty".