105026884248 has 256 divisors, whose sum is σ = 321735536640. Its totient is φ = 28134604800.

The previous prime is 105026884247. The next prime is 105026884253. The reversal of 105026884248 is 842488620501.

It is a super-2 number, since 2×105026884248² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105026884197 and 105026884206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105026884247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10314936 + ... + 10325112.

It is an arithmetic number, because the mean of its divisors is an integer number (1256779440).

Almost surely, 2^105026884248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105026884248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160867768320).

105026884248 is an abundant number, since it is smaller than the sum of its proper divisors (216708652392).

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

105026884248 is a wasteful number, since it uses less digits than its factorization.

105026884248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 105026884248 in words is "one hundred five billion, twenty-six million, eight hundred eighty-four thousand, two hundred forty-eight".