105471120 has 40 divisors (see below), whose sum is σ = 326961216. Its totient is φ = 28125568.

The previous prime is 105471103. The next prime is 105471133. The reversal of 105471120 is 21174501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105471120² = 22248314308108800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219492 + ... + 219971.

Almost surely, 2^105471120 is an apocalyptic number.

105471120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105471120 is an abundant number, since it is smaller than the sum of its proper divisors (221490096).

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

105471120 is a wasteful number, since it uses less digits than its factorization.

105471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439479 (or 439473 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105471120 is about 10269.9133394591. The cubic root of 105471120 is about 472.4739326623.

The spelling of 105471120 in words is "one hundred five million, four hundred seventy-one thousand, one hundred twenty".