107428961450160 has 640 divisors, whose sum is σ = 436621403013120. Its totient is φ = 23758479360000.

The previous prime is 107428961450147. The next prime is 107428961450189. The reversal of 107428961450160 is 61054169824701.

107428961450160 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 8 + 9 + 614 + 5 + 0 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107428961450097 and 107428961450106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2790270910 + ... + 2790309410.

It is an arithmetic number, because the mean of its divisors is an integer number (682220942208).

Almost surely, 2^{107428961450160} is an apocalyptic number.

107428961450160 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 107428961450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218310701506560).

107428961450160 is an abundant number, since it is smaller than the sum of its proper divisors (329192441562960).

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

107428961450160 is a wasteful number, since it uses less digits than its factorization.

107428961450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44514 (or 44502 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 107428961450160 in words is "one hundred seven trillion, four hundred twenty-eight billion, nine hundred sixty-one million, four hundred fifty thousand, one hundred sixty".