107396167680 has 384 divisors, whose sum is σ = 387207475200. Its totient is φ = 28230451200.

The previous prime is 107396167679. The next prime is 107396167691. The reversal of 107396167680 is 86761693701.

It is a happy number.

107396167680 is a `hidden beast` number, since 10 + 7 + 3 + 9 + 616 + 7 + 6 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19627345 + ... + 19632815.

It is an arithmetic number, because the mean of its divisors is an integer number (1008352800).

Almost surely, 2^107396167680 is an apocalyptic number.

107396167680 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 107396167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

107396167680 is an abundant number, since it is smaller than the sum of its proper divisors (279811307520).

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

107396167680 is an equidigital number, since it uses as much as digits as its factorization.

107396167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 107396167680 in words is "one hundred seven billion, three hundred ninety-six million, one hundred sixty-seven thousand, six hundred eighty".