105351200 has 144 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 38384640.

The previous prime is 105351179. The next prime is 105351203. The reversal of 105351200 is 2153501.

It is a super-2 number, since 2×105351200² = 22197750682880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440681 + ... + 440919.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^105351200 is an apocalyptic number.

105351200 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 105351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

105351200 is an abundant number, since it is smaller than the sum of its proper divisors (175880800).

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

105351200 is a wasteful number, since it uses less digits than its factorization.

105351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105351200 is about 10264.0732655218. The cubic root of 105351200 is about 472.2947981237.

The spelling of 105351200 in words is "one hundred five million, three hundred fifty-one thousand, two hundred".