105166320 has 160 divisors (see below), whose sum is σ = 379261440. Its totient is φ = 23608320.

The previous prime is 105166309. The next prime is 105166337. The reversal of 105166320 is 23661501.

It is a super-2 number, since 2×105166320² = 22119909724684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98590 + ... + 99650.

It is an arithmetic number, because the mean of its divisors is an integer number (2370384).

Almost surely, 2^105166320 is an apocalyptic number.

105166320 is a gapful number since it is divisible by the number (10) 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 105166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189630720).

105166320 is an abundant number, since it is smaller than the sum of its proper divisors (274095120).

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

105166320 is a wasteful number, since it uses less digits than its factorization.

105166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105166320 is about 10255.0631397374. The cubic root of 105166320 is about 472.0183608677.

It can be divided in two parts, 10516 and 6320, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 105166320 in words is "one hundred five million, one hundred sixty-six thousand, three hundred twenty".