105462280863550 has 96 divisors (see below), whose sum is σ = 211523370637824. Its totient is φ = 38889380400000.

The previous prime is 105462280863517. The next prime is 105462280863571. The reversal of 105462280863550 is 55368082264501.

It is a super-3 number, since 3×105462280863550³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105462280863491 and 105462280863500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178633447 + ... + 2178681853.

It is an arithmetic number, because the mean of its divisors is an integer number (2203368444144).

Almost surely, 2^{105462280863550} is an apocalyptic number.

105462280863550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105462280863550 is an abundant number, since it is smaller than the sum of its proper divisors (106061089774274).

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

105462280863550 is a wasteful number, since it uses less digits than its factorization.

105462280863550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52714 (or 52709 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 105462280863550 in words is "one hundred five trillion, four hundred sixty-two billion, two hundred eighty million, eight hundred sixty-three thousand, five hundred fifty".