105510664 has 16 divisors (see below), whose sum is σ = 226094400. Its totient is φ = 45218832.

The previous prime is 105510661. The next prime is 105510673. The reversal of 105510664 is 466015501.

It is a super-2 number, since 2×105510664² = 22265000435441792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105510661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 942004 + ... + 942115.

It is an arithmetic number, because the mean of its divisors is an integer number (14130900).

Almost surely, 2^105510664 is an apocalyptic number.

105510664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105510664 is an abundant number, since it is smaller than the sum of its proper divisors (120583736).

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

105510664 is a wasteful number, since it uses less digits than its factorization.

105510664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884132 (or 1884128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105510664 is about 10271.8383943674. The cubic root of 105510664 is about 472.5329730729.

The spelling of 105510664 in words is "one hundred five million, five hundred ten thousand, six hundred sixty-four".