107725554720 has 336 divisors, whose sum is σ = 436092310080. Its totient is φ = 24622797312.

The previous prime is 107725554707. The next prime is 107725554721. The reversal of 107725554720 is 27455527701.

107725554720 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 25 + 554 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107725554721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 750511 + ... + 882449.

It is an arithmetic number, because the mean of its divisors is an integer number (1297893780).

Almost surely, 2^107725554720 is an apocalyptic number.

107725554720 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 107725554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218046155040).

107725554720 is an abundant number, since it is smaller than the sum of its proper divisors (328366755360).

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

107725554720 is an equidigital number, since it uses as much as digits as its factorization.

107725554720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131979 (or 131956 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 107725554720 in words is "one hundred seven billion, seven hundred twenty-five million, five hundred fifty-four thousand, seven hundred twenty".