105141353334400 has 48 divisors (see below), whose sum is σ = 259731999416790. Its totient is φ = 42056541332480.

The previous prime is 105141353334377. The next prime is 105141353334421. The reversal of 105141353334400 is 4433353141501.

It can be written as a sum of positive squares in 3 ways, for example, as 78939813196864 + 26201540137536 = 8884808^2 + 5118744^2 .

It is a super-2 number, since 2×105141353334400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105141353334400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16428333259 + ... + 16428339658.

Almost surely, 2^{105141353334400} is an apocalyptic number.

105141353334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105141353334400 is an abundant number, since it is smaller than the sum of its proper divisors (154590646082390).

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

105141353334400 is an equidigital number, since it uses as much as digits as its factorization.

105141353334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32856672941 (or 32856672924 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 105141353334400 in words is "one hundred five trillion, one hundred forty-one billion, three hundred fifty-three million, three hundred thirty-four thousand, four hundred".