105506425200 has 240 divisors, whose sum is σ = 369377894016. Its totient is φ = 25530086400.

The previous prime is 105506425187. The next prime is 105506425237. The reversal of 105506425200 is 2524605501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105506425200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7424502 + ... + 7438698.

Almost surely, 2^105506425200 is an apocalyptic number.

105506425200 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 105506425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184688947008).

105506425200 is an abundant number, since it is smaller than the sum of its proper divisors (263871468816).

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

105506425200 is a wasteful number, since it uses less digits than its factorization.

105506425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14792 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105506425200 in words is "one hundred five billion, five hundred six million, four hundred twenty-five thousand, two hundred".