107345546112 has 384 divisors, whose sum is σ = 346086881280. Its totient is φ = 28847923200.

The previous prime is 107345546093. The next prime is 107345546123. The reversal of 107345546112 is 211645543701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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, 114075562 + ... + 114076502.

It is an arithmetic number, because the mean of its divisors is an integer number (901267920).

Almost surely, 2^107345546112 is an apocalyptic number.

107345546112 is a gapful number since it is divisible by the number (12) 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 107345546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173043440640).

107345546112 is an abundant number, since it is smaller than the sum of its proper divisors (238741335168).

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

107345546112 is an equidigital number, since it uses as much as digits as its factorization.

107345546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 107345546112 in words is "one hundred seven billion, three hundred forty-five million, five hundred forty-six thousand, one hundred twelve".