107381199744 has 960 divisors, whose sum is σ = 407745122400. Its totient is φ = 27799511040.

The previous prime is 107381199733. The next prime is 107381199749. The reversal of 107381199744 is 447991183701.

It is a happy number.

107381199744 is a `hidden beast` number, since 1 + 0 + 7 + 381 + 199 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107381199749) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 468913422 + ... + 468913650.

Almost surely, 2^107381199744 is an apocalyptic number.

107381199744 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 107381199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203872561200).

107381199744 is an abundant number, since it is smaller than the sum of its proper divisors (300363922656).

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

107381199744 is a wasteful number, since it uses less digits than its factorization.

107381199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 107381199744 in words is "one hundred seven billion, three hundred eighty-one million, one hundred ninety-nine thousand, seven hundred forty-four".