107036328960 has 1056 divisors, whose sum is σ = 428631974400. Its totient is φ = 25619742720.

The previous prime is 107036328941. The next prime is 107036328967. The reversal of 107036328960 is 69823630701.

107036328960 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 3 + 632 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×107036328960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107036328967) 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, 1354890201 + ... + 1354890279.

Almost surely, 2^107036328960 is an apocalyptic number.

107036328960 is a gapful number since it is divisible by the number (10) 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 107036328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214315987200).

107036328960 is an abundant number, since it is smaller than the sum of its proper divisors (321595645440).

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

107036328960 is an frugal number, since it uses more digits than its factorization.

107036328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 107036328960 in words is "one hundred seven billion, thirty-six million, three hundred twenty-eight thousand, nine hundred sixty".