105103200 has 72 divisors (see below), whose sum is σ = 342118728. Its totient is φ = 28026880.

The previous prime is 105103189. The next prime is 105103247. The reversal of 105103200 is 2301501.

It is a super-2 number, since 2×105103200² = 22093365300480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19497 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (4751649).

Almost surely, 2^105103200 is an apocalyptic number.

105103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105103200 is an abundant number, since it is smaller than the sum of its proper divisors (237015528).

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

105103200 is a wasteful number, since it uses less digits than its factorization.

105103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43816 (or 43803 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105103200 is about 10251.9851736139. The cubic root of 105103200 is about 471.9239080632.

Adding to 105103200 its reverse (2301501), we get a palindrome (107404701).

The spelling of 105103200 in words is "one hundred five million, one hundred three thousand, two hundred".