105320688 has 80 divisors (see below), whose sum is σ = 299004672. Its totient is φ = 31680000.

The previous prime is 105320681. The next prime is 105320707. The reversal of 105320688 is 886023501.

It is a happy number.

It is a super-2 number, since 2×105320688² = 22184894641586688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105320681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79068 + ... + 80388.

Almost surely, 2^105320688 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 105320688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149502336).

105320688 is an abundant number, since it is smaller than the sum of its proper divisors (193683984).

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

105320688 is a wasteful number, since it uses less digits than its factorization.

105320688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105320688 is about 10262.5868084026. The cubic root of 105320688 is about 472.2491981042.

The spelling of 105320688 in words is "one hundred five million, three hundred twenty thousand, six hundred eighty-eight".