105878233552 has 80 divisors (see below), whose sum is σ = 265767295360. Its totient is φ = 39681363456.

The previous prime is 105878233547. The next prime is 105878233583. The reversal of 105878233552 is 255332878501.

It is a super-2 number, since 2×105878233552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105878233496 and 105878233505.

It is a congruent number.

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, 1885983 + ... + 1941310.

It is an arithmetic number, because the mean of its divisors is an integer number (3322091192).

Almost surely, 2^105878233552 is an apocalyptic number.

It is an amenable number.

105878233552 is an abundant number, since it is smaller than the sum of its proper divisors (159889061808).

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

105878233552 is a wasteful number, since it uses less digits than its factorization.

105878233552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827340 (or 3827334 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 105878233552 in words is "one hundred five billion, eight hundred seventy-eight million, two hundred thirty-three thousand, five hundred fifty-two".