105448497280 has 64 divisors (see below), whose sum is σ = 288100370880. Its totient is φ = 36153768960.

The previous prime is 105448497257. The next prime is 105448497389. The reversal of 105448497280 is 82794844501.

105448497280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105448497280² (a number of 23 digits) contains 22 as substring.

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, 11764326 + ... + 11773285.

It is an arithmetic number, because the mean of its divisors is an integer number (4501568295).

Almost surely, 2^105448497280 is an apocalyptic number.

105448497280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105448497280 is an abundant number, since it is smaller than the sum of its proper divisors (182651873600).

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

105448497280 is an equidigital number, since it uses as much as digits as its factorization.

105448497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537637 (or 23537625 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 105448497280 in words is "one hundred five billion, four hundred forty-eight million, four hundred ninety-seven thousand, two hundred eighty".