105115200 has 168 divisors, whose sum is σ = 351495360. Its totient is φ = 27494400.

The previous prime is 105115193. The next prime is 105115211. The reversal of 105115200 is 2511501.

It is a super-2 number, since 2×105115200² = 22098410542080000, 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 105115200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292621 + ... + 292979.

Almost surely, 2^105115200 is an apocalyptic number.

105115200 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 105115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175747680).

105115200 is an abundant number, since it is smaller than the sum of its proper divisors (246380160).

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

105115200 is a wasteful number, since it uses less digits than its factorization.

105115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105115200 is about 10252.5704094144. The cubic root of 105115200 is about 471.9418677808.

Adding to 105115200 its reverse (2511501), we get a palindrome (107626701).

The spelling of 105115200 in words is "one hundred five million, one hundred fifteen thousand, two hundred".