105497664 has 112 divisors (see below), whose sum is σ = 290169600. Its totient is φ = 33808896.

The previous prime is 105497641. The next prime is 105497669. The reversal of 105497664 is 466794501.

It is a super-2 number, since 2×105497664² = 22259514218913792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105497669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758907 + ... + 759045.

It is an arithmetic number, because the mean of its divisors is an integer number (2590800).

Almost surely, 2^105497664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145084800).

105497664 is an abundant number, since it is smaller than the sum of its proper divisors (184671936).

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

105497664 is a wasteful number, since it uses less digits than its factorization.

105497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 105497664 is about 10271.2055767568. The cubic root of 105497664 is about 472.5135653002.

The spelling of 105497664 in words is "one hundred five million, four hundred ninety-seven thousand, six hundred sixty-four".