105406200 has 144 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 27187200.

The previous prime is 105406177. The next prime is 105406207. The reversal of 105406200 is 2604501.

It is a happy number.

105406200 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 620 + 0 = 666.

It is a super-3 number, since 3×105406200³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54856 + ... + 56744.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^105406200 is an apocalyptic number.

105406200 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 105406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

105406200 is an abundant number, since it is smaller than the sum of its proper divisors (260195400).

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

105406200 is a wasteful number, since it uses less digits than its factorization.

105406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105406200 is about 10266.7521641462. The cubic root of 105406200 is about 472.3769730928.

The spelling of 105406200 in words is "one hundred five million, four hundred six thousand, two hundred".