105282266517120 has 512 divisors, whose sum is σ = 418442037350400. Its totient is φ = 21874347048960.

The previous prime is 105282266517097. The next prime is 105282266517191. The reversal of 105282266517120 is 21715662282501.

It is a super-2 number, since 2×105282266517120² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105282266517120.

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, 1484130292 + ... + 1484201228.

It is an arithmetic number, because the mean of its divisors is an integer number (817269604200).

Almost surely, 2^{105282266517120} is an apocalyptic number.

105282266517120 is a gapful number since it is divisible by the number (10) 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 105282266517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209221018675200).

105282266517120 is an abundant number, since it is smaller than the sum of its proper divisors (313159770833280).

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

105282266517120 is a wasteful number, since it uses less digits than its factorization.

105282266517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81016 (or 81004 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 105282266517120 in words is "one hundred five trillion, two hundred eighty-two billion, two hundred sixty-six million, five hundred seventeen thousand, one hundred twenty".