105170273540000 has 60 divisors (see below), whose sum is σ = 258734648498634. Its totient is φ = 42068109408000.

The previous prime is 105170273539993. The next prime is 105170273540053. The reversal of 105170273540000 is 45372071501.

It can be written as a sum of positive squares in 5 ways, for example, as 1045637134096 + 104124636405904 = 1022564^2 + 10204148^2 .

It is a super-2 number, since 2×105170273540000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2629236839 + ... + 2629276838.

Almost surely, 2^{105170273540000} is an apocalyptic number.

105170273540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105170273540000 is an abundant number, since it is smaller than the sum of its proper divisors (153564374958634).

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

105170273540000 is an frugal number, since it uses more digits than its factorization.

105170273540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258513707 (or 5258513684 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 105170273540000 in words is "one hundred five trillion, one hundred seventy billion, two hundred seventy-three million, five hundred forty thousand".