105172320 has 96 divisors (see below), whose sum is σ = 361428480. Its totient is φ = 25495040.

The previous prime is 105172313. The next prime is 105172321. The reversal of 105172320 is 23271501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105172320² = 22122433788364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172321) 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, 4680 + ... + 15239.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2^105172320 is an apocalyptic number.

105172320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105172320 is an abundant number, since it is smaller than the sum of its proper divisors (256256160).

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

105172320 is a wasteful number, since it uses less digits than its factorization.

105172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19940 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105172320 is about 10255.3556739881. The cubic root of 105172320 is about 472.0273373039.

The spelling of 105172320 in words is "one hundred five million, one hundred seventy-two thousand, three hundred twenty".