107299539648 has 896 divisors, whose sum is σ = 404501299200. Its totient is φ = 27185393664.

The previous prime is 107299539631. The next prime is 107299539661. The reversal of 107299539648 is 846935992701.

107299539648 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 99 + 539 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 280155265 + ... + 280155647.

It is a 1-persistent number, because it is pandigital, but 2⋅107299539648 = 214599079296 is not.

Almost surely, 2^107299539648 is an apocalyptic number.

107299539648 is a gapful number since it is divisible by the number (18) 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 107299539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202250649600).

107299539648 is an abundant number, since it is smaller than the sum of its proper divisors (297201759552).

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

107299539648 is a wasteful number, since it uses less digits than its factorization.

107299539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 107299539648 in words is "one hundred seven billion, two hundred ninety-nine million, five hundred thirty-nine thousand, six hundred forty-eight".