107657248104 has 240 divisors, whose sum is σ = 344496110400. Its totient is φ = 30366004032.

The previous prime is 107657248087. The next prime is 107657248189. The reversal of 107657248104 is 401842756701.

107657248104 is a `hidden beast` number, since 1 + 0 + 76 + 572 + 4 + 8 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107657248104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13652947 + ... + 13660829.

It is an arithmetic number, because the mean of its divisors is an integer number (1435400460).

Almost surely, 2^107657248104 is an apocalyptic number.

107657248104 is a gapful number since it is divisible by the number (14) 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 107657248104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172248055200).

107657248104 is an abundant number, since it is smaller than the sum of its proper divisors (236838862296).

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

107657248104 is an equidigital number, since it uses as much as digits as its factorization.

107657248104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 107657248104 in words is "one hundred seven billion, six hundred fifty-seven million, two hundred forty-eight thousand, one hundred four".