105484704 has 48 divisors (see below), whose sum is σ = 298200672. Its totient is φ = 32456448.

The previous prime is 105484697. The next prime is 105484727. The reversal of 105484704 is 407484501.

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

It is a super-2 number, since 2×105484704² = 22254045555935232, which contains 22 as substring.

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, 41014 + ... + 43509.

It is an arithmetic number, because the mean of its divisors is an integer number (6212514).

Almost surely, 2^105484704 is an apocalyptic number.

It is an amenable number.

105484704 is an abundant number, since it is smaller than the sum of its proper divisors (192715968).

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

105484704 is a wasteful number, since it uses less digits than its factorization.

105484704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84549 (or 84541 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 105484704 is about 10270.5746674663. The cubic root of 105484704 is about 472.4942156566.

It can be divided in two parts, 1054 and 84704, that added together give a palindrome (85758).

The spelling of 105484704 in words is "one hundred five million, four hundred eighty-four thousand, seven hundred four".