105471286704 has 80 divisors (see below), whose sum is σ = 345990474240. Its totient is φ = 30134652480.

The previous prime is 105471286667. The next prime is 105471286733. The reversal of 105471286704 is 407682174501.

105471286704 is a `hidden beast` number, since 10 + 547 + 1 + 28 + 6 + 70 + 4 = 666.

It is a super-2 number, since 2×105471286704² (a number of 23 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 105471286704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17436012 + ... + 17442059.

It is an arithmetic number, because the mean of its divisors is an integer number (4324880928).

Almost surely, 2^105471286704 is an apocalyptic number.

105471286704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105471286704 is an abundant number, since it is smaller than the sum of its proper divisors (240519187536).

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

105471286704 is a wasteful number, since it uses less digits than its factorization.

105471286704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34878095 (or 34878083 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 105471286704 in words is "one hundred five billion, four hundred seventy-one million, two hundred eighty-six thousand, seven hundred four".