105412200 has 48 divisors (see below), whose sum is σ = 326779680. Its totient is φ = 28109760.

The previous prime is 105412193. The next prime is 105412207. The reversal of 105412200 is 2214501.

It is an interprime number because it is at equal distance from previous prime (105412193) and next prime (105412207).

It is a super-2 number, since 2×105412200² = 22223463817680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105412200.

It is not an unprimeable number, because it can be changed into a prime (105412207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87244 + ... + 88443.

It is an arithmetic number, because the mean of its divisors is an integer number (6807910).

Almost surely, 2^105412200 is an apocalyptic number.

105412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105412200 is an abundant number, since it is smaller than the sum of its proper divisors (221367480).

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

105412200 is a wasteful number, since it uses less digits than its factorization.

105412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175706 (or 175697 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105412200 is about 10267.0443653468. The cubic root of 105412200 is about 472.3859359054.

Adding to 105412200 its reverse (2214501), we get a palindrome (107626701).

The spelling of 105412200 in words is "one hundred five million, four hundred twelve thousand, two hundred".