105470471328 has 48 divisors (see below), whose sum is σ = 276931763136. Its totient is φ = 35147709440.

The previous prime is 105470471299. The next prime is 105470471357. The reversal of 105470471328 is 823174074501.

It is an interprime number because it is at equal distance from previous prime (105470471299) and next prime (105470471357).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105470471328² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105470471328.

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, 235000 + ... + 515912.

It is an arithmetic number, because the mean of its divisors is an integer number (5769411732).

Almost surely, 2^105470471328 is an apocalyptic number.

It is an amenable number.

105470471328 is an abundant number, since it is smaller than the sum of its proper divisors (171461291808).

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

105470471328 is a wasteful number, since it uses less digits than its factorization.

105470471328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284837 (or 284829 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 105470471328 in words is "one hundred five billion, four hundred seventy million, four hundred seventy-one thousand, three hundred twenty-eight".