105230664 has 384 divisors, whose sum is σ = 398361600. Its totient is φ = 25194240.

The previous prime is 105230651. The next prime is 105230693. The reversal of 105230664 is 466032501.

It is a super-2 number, since 2×105230664² = 22146985291761792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2844054 + ... + 2844090.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^105230664 is an apocalyptic number.

105230664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105230664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

105230664 is an abundant number, since it is smaller than the sum of its proper divisors (293130936).

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

105230664 is a wasteful number, since it uses less digits than its factorization.

105230664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105230664 is about 10258.1998420776. The cubic root of 105230664 is about 472.1146063749.

The spelling of 105230664 in words is "one hundred five million, two hundred thirty thousand, six hundred sixty-four".