105215200 has 36 divisors (see below), whose sum is σ = 256858560. Its totient is φ = 42085760.

The previous prime is 105215189. The next prime is 105215203. The reversal of 105215200 is 2512501.

It is a super-2 number, since 2×105215200² = 22140476622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64960 + ... + 66559.

It is an arithmetic number, because the mean of its divisors is an integer number (7134960).

Almost surely, 2^105215200 is an apocalyptic number.

105215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105215200 is an abundant number, since it is smaller than the sum of its proper divisors (151643360).

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

105215200 is a wasteful number, since it uses less digits than its factorization.

105215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131539 (or 131526 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105215200 is about 10257.4460759002. The cubic root of 105215200 is about 472.0914789655.

Adding to 105215200 its reverse (2512501), we get a palindrome (107727701).

The spelling of 105215200 in words is "one hundred five million, two hundred fifteen thousand, two hundred".