107386357248 has 240 divisors, whose sum is σ = 329111948880. Its totient is φ = 33591656448.

The previous prime is 107386357207. The next prime is 107386357249. The reversal of 107386357248 is 842753683701.

It is a happy number.

107386357248 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 63 + 572 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107386357194 and 107386357203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107386357249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29687536 + ... + 29691152.

It is an arithmetic number, because the mean of its divisors is an integer number (1371299787).

Almost surely, 2^107386357248 is an apocalyptic number.

107386357248 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 107386357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164555974440).

107386357248 is an abundant number, since it is smaller than the sum of its proper divisors (221725591632).

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

107386357248 is a wasteful number, since it uses less digits than its factorization.

107386357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 107386357248 in words is "one hundred seven billion, three hundred eighty-six million, three hundred fifty-seven thousand, two hundred forty-eight".