107410385664 has 432 divisors, whose sum is σ = 343485402624. Its totient is φ = 33393254400.

The previous prime is 107410385653. The next prime is 107410385683. The reversal of 107410385664 is 466583014701.

107410385664 is a `hidden beast` number, since 1 + 0 + 74 + 10 + 3 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58661229 + ... + 58663059.

Almost surely, 2^107410385664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107410385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171742701312).

107410385664 is an abundant number, since it is smaller than the sum of its proper divisors (236075016960).

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

107410385664 is an equidigital number, since it uses as much as digits as its factorization.

107410385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107410385664 in words is "one hundred seven billion, four hundred ten million, three hundred eighty-five thousand, six hundred sixty-four".