105201200 has 60 divisors (see below), whose sum is σ = 272201328. Its totient is φ = 38841600.

The previous prime is 105201193. The next prime is 105201227. The reversal of 105201200 is 2102501.

It is a super-2 number, since 2×105201200² = 22134584962880000, which contains 22 as substring.

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, 4916 + ... + 15315.

Almost surely, 2^105201200 is an apocalyptic number.

105201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105201200 is an abundant number, since it is smaller than the sum of its proper divisors (167000128).

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

105201200 is a wasteful number, since it uses less digits than its factorization.

105201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20251 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105201200 is about 10256.7636221178. The cubic root of 105201200 is about 472.0705391081.

Adding to 105201200 its reverse (2102501), we get a palindrome (107303701).

The spelling of 105201200 in words is "one hundred five million, two hundred one thousand, two hundred".