107384563741 has 48 divisors (see below), whose sum is σ = 138689878320. Its totient is φ = 82360212480.

The previous prime is 107384563703. The next prime is 107384563751. The reversal of 107384563741 is 147365483701.

It can be written as a sum of positive squares in 8 ways, for example, as 17006768100 + 90377795641 = 130410^2 + 300629^2 .

It is not a de Polignac number, because 107384563741 - 2¹⁹ = 107384039453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107384563751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087275 + ... + 4113463.

It is an arithmetic number, because the mean of its divisors is an integer number (2889372465).

Almost surely, 2^107384563741 is an apocalyptic number.

It is an amenable number.

107384563741 is a deficient number, since it is larger than the sum of its proper divisors (31305314579).

107384563741 is a wasteful number, since it uses less digits than its factorization.

107384563741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26414 (or 26407 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 107384563741 in words is "one hundred seven billion, three hundred eighty-four million, five hundred sixty-three thousand, seven hundred forty-one".