105673200 has 120 divisors (see below), whose sum is σ = 342085248. Its totient is φ = 27882240.

The previous prime is 105673151. The next prime is 105673213. The reversal of 105673200 is 2376501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105673200² = 22333650396480000, 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 23 ways as a sum of consecutive naturals, for example, 127989 + ... + 128811.

Almost surely, 2^105673200 is an apocalyptic number.

105673200 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 105673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171042624).

105673200 is an abundant number, since it is smaller than the sum of its proper divisors (236412048).

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

105673200 is a wasteful number, since it uses less digits than its factorization.

105673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105673200 is about 10279.7470786007. The cubic root of 105673200 is about 472.7754895233.

The spelling of 105673200 in words is "one hundred five million, six hundred seventy-three thousand, two hundred".