105245425600 has 336 divisors, whose sum is σ = 304463013120. Its totient is φ = 35055820800.

The previous prime is 105245425589. The next prime is 105245425601. The reversal of 105245425600 is 6524542501.

It is a super-2 number, since 2×105245425600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245425601) 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 47 ways as a sum of consecutive naturals, for example, 192404527 + ... + 192405073.

It is an arithmetic number, because the mean of its divisors is an integer number (906139920).

Almost surely, 2^105245425600 is an apocalyptic number.

105245425600 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 105245425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152231506560).

105245425600 is an abundant number, since it is smaller than the sum of its proper divisors (199217587520).

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

105245425600 is a wasteful number, since it uses less digits than its factorization.

105245425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 105245425600 in words is "one hundred five billion, two hundred forty-five million, four hundred twenty-five thousand, six hundred".