105011200 has 144 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 35880960.

The previous prime is 105011183. The next prime is 105011213. The reversal of 105011200 is 2110501.

It is a happy number.

It is a super-2 number, since 2×105011200² = 22054704250880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358254 + ... + 358546.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^105011200 is an apocalyptic number.

105011200 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 105011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

105011200 is an abundant number, since it is smaller than the sum of its proper divisors (193563440).

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

105011200 is an equidigital number, since it uses as much as digits as its factorization.

105011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 105011200 is about 10247.4972554278. The cubic root of 105011200 is about 471.7861714583.

Adding to 105011200 its reverse (2110501), we get a palindrome (107121701).

The spelling of 105011200 in words is "one hundred five million, eleven thousand, two hundred".