105225753600 has 396 divisors, whose sum is σ = 411018603840. Its totient is φ = 25508659200.

The previous prime is 105225753559. The next prime is 105225753601. The reversal of 105225753600 is 6357522501.

105225753600 is a `hidden beast` number, since 1 + 0 + 5 + 22 + 575 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×105225753600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225753601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2513641 + ... + 2555159.

Almost surely, 2^105225753600 is an apocalyptic number.

105225753600 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 105225753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205509301920).

105225753600 is an abundant number, since it is smaller than the sum of its proper divisors (305792850240).

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

105225753600 is a wasteful number, since it uses less digits than its factorization.

105225753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41566 (or 41540 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 105225753600 in words is "one hundred five billion, two hundred twenty-five million, seven hundred fifty-three thousand, six hundred".