105090464 has 24 divisors (see below), whose sum is σ = 219068388. Its totient is φ = 49454080.

The previous prime is 105090457. The next prime is 105090487. The reversal of 105090464 is 464090501.

It can be written as a sum of positive squares in 2 ways, for example, as 93934864 + 11155600 = 9692^2 + 3340^2 .

It is a super-2 number, since 2×105090464² = 22088011247470592, 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 3 ways as a sum of consecutive naturals, for example, 96047 + ... + 97134.

Almost surely, 2^105090464 is an apocalyptic number.

It is an amenable number.

105090464 is an abundant number, since it is smaller than the sum of its proper divisors (113977924).

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

105090464 is a wasteful number, since it uses less digits than its factorization.

105090464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193208 (or 193200 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105090464 is about 10251.3640068042. The cubic root of 105090464 is about 471.9048453207.

The spelling of 105090464 in words is "one hundred five million, ninety thousand, four hundred sixty-four".