105848280912 has 40 divisors (see below), whose sum is σ = 298299702240. Its totient is φ = 32075236480.

The previous prime is 105848280833. The next prime is 105848280917. The reversal of 105848280912 is 219082848501.

It is a super-2 number, since 2×105848280912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105848280917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100234587 + ... + 100235642.

It is an arithmetic number, because the mean of its divisors is an integer number (7457492556).

Almost surely, 2^105848280912 is an apocalyptic number.

105848280912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105848280912 is an abundant number, since it is smaller than the sum of its proper divisors (192451421328).

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

105848280912 is a wasteful number, since it uses less digits than its factorization.

105848280912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200470251 (or 200470245 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

It can be divided in two parts, 105848 and 280912, that added together give a triangular number (386760 = T₈₇₉).

The spelling of 105848280912 in words is "one hundred five billion, eight hundred forty-eight million, two hundred eighty thousand, nine hundred twelve".