107245555200 has 900 divisors, whose sum is σ = 461946272832. Its totient is φ = 24501657600.

The previous prime is 107245555199. The next prime is 107245555217. The reversal of 107245555200 is 2555542701.

107245555200 is a `hidden beast` number, since 10 + 72 + 4 + 5 + 55 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×107245555200² (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 an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802145 + ... + 50804255.

Almost surely, 2^107245555200 is an apocalyptic number.

107245555200 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 107245555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230973136416).

107245555200 is an abundant number, since it is smaller than the sum of its proper divisors (354700717632).

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

107245555200 is an equidigital number, since it uses as much as digits as its factorization.

107245555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 107245555200 in words is "one hundred seven billion, two hundred forty-five million, five hundred fifty-five thousand, two hundred".