105027280512 has 512 divisors, whose sum is σ = 360267264000. Its totient is φ = 26869248000.

The previous prime is 105027280499. The next prime is 105027280531. The reversal of 105027280512 is 215082720501.

It is a super-2 number, since 2×105027280512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102866562 + ... + 102867582.

It is an arithmetic number, because the mean of its divisors is an integer number (703647000).

Almost surely, 2^105027280512 is an apocalyptic number.

105027280512 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 105027280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180133632000).

105027280512 is an abundant number, since it is smaller than the sum of its proper divisors (255239983488).

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

105027280512 is a wasteful number, since it uses less digits than its factorization.

105027280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 105027280512 in words is "one hundred five billion, twenty-seven million, two hundred eighty thousand, five hundred twelve".