105281386752 has 72 divisors (see below), whose sum is σ = 280358800960. Its totient is φ = 35074160640.

The previous prime is 105281386703. The next prime is 105281386783. The reversal of 105281386752 is 257683182501.

It is a super-2 number, since 2×105281386752² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368774 + ... + 1443642.

Almost surely, 2^105281386752 is an apocalyptic number.

105281386752 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 105281386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140179400480).

105281386752 is an abundant number, since it is smaller than the sum of its proper divisors (175077414208).

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

105281386752 is an equidigital number, since it uses as much as digits as its factorization.

105281386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76719 (or 76705 counting only the distinct ones).

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

The spelling of 105281386752 in words is "one hundred five billion, two hundred eighty-one million, three hundred eighty-six thousand, seven hundred fifty-two".