105280826112 has 864 divisors, whose sum is σ = 400166144000. Its totient is φ = 27271157760.

The previous prime is 105280826059. The next prime is 105280826219. The reversal of 105280826112 is 211628082501.

105280826112 is a `hidden beast` number, since 10 + 5 + 28 + 0 + 8 + 2 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×105280826112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286868553 + ... + 286868919.

Almost surely, 2^105280826112 is an apocalyptic number.

105280826112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105280826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200083072000).

105280826112 is an abundant number, since it is smaller than the sum of its proper divisors (294885317888).

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

105280826112 is an equidigital number, since it uses as much as digits as its factorization.

105280826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 105280826112 in words is "one hundred five billion, two hundred eighty million, eight hundred twenty-six thousand, one hundred twelve".