105114800 has 180 divisors, whose sum is σ = 304998336. Its totient is φ = 34675200.

The previous prime is 105114787. The next prime is 105114803. The reversal of 105114800 is 8411501.

It is a super-2 number, since 2×105114800² = 22098242358080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105114803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607514 + ... + 607686.

Almost surely, 2^105114800 is an apocalyptic number.

105114800 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 105114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152499168).

105114800 is an abundant number, since it is smaller than the sum of its proper divisors (199883536).

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

105114800 is a wasteful number, since it uses less digits than its factorization.

105114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 105114800 is about 10252.5509020926. The cubic root of 105114800 is about 471.9412691456.

It can be divided in two parts, 1051 and 14800, that added together give a palindrome (15851).

The spelling of 105114800 in words is "one hundred five million, one hundred fourteen thousand, eight hundred".