105848280468 has 96 divisors (see below), whose sum is σ = 318940339200. Its totient is φ = 29729770848.

The previous prime is 105848280443. The next prime is 105848280479. The reversal of 105848280468 is 864082848501.

105848280468 is a `hidden beast` number, since 10 + 58 + 48 + 2 + 80 + 468 = 666.

It is a super-2 number, since 2×105848280468² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141930 + ... + 1231137.

It is an arithmetic number, because the mean of its divisors is an integer number (3322295200).

Almost surely, 2^105848280468 is an apocalyptic number.

105848280468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105848280468 is an abundant number, since it is smaller than the sum of its proper divisors (213092058732).

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

105848280468 is a wasteful number, since it uses less digits than its factorization.

105848280468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373146 (or 2373138 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 105848280468 in words is "one hundred five billion, eight hundred forty-eight million, two hundred eighty thousand, four hundred sixty-eight".