107245748064 has 576 divisors, whose sum is σ = 373748981760. Its totient is φ = 26615070720.

The previous prime is 107245748063. The next prime is 107245748107. The reversal of 107245748064 is 460847542701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107245748063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280014817 + ... + 280015199.

It is an arithmetic number, because the mean of its divisors is an integer number (648869760).

Almost surely, 2^107245748064 is an apocalyptic number.

107245748064 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 107245748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186874490880).

107245748064 is an abundant number, since it is smaller than the sum of its proper divisors (266503233696).

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

107245748064 is a wasteful number, since it uses less digits than its factorization.

107245748064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 107245748064 in words is "one hundred seven billion, two hundred forty-five million, seven hundred forty-eight thousand, sixty-four".