105200120 has 32 divisors (see below), whose sum is σ = 237211200. Its totient is φ = 41989248.

The previous prime is 105200119. The next prime is 105200129. The reversal of 105200120 is 21002501.

It is a super-2 number, since 2×105200120² = 22134130496028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105200129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17777 + ... + 22943.

It is an arithmetic number, because the mean of its divisors is an integer number (7412850).

Almost surely, 2^105200120 is an apocalyptic number.

105200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105200120 is an abundant number, since it is smaller than the sum of its proper divisors (132011080).

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

105200120 is a wasteful number, since it uses less digits than its factorization.

105200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

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

The square root of 105200120 is about 10256.7109737966. The cubic root of 105200120 is about 472.0689236705.

Adding to 105200120 its reverse (21002501), we get a palindrome (126202621).

The spelling of 105200120 in words is "one hundred five million, two hundred thousand, one hundred twenty".