107003746080 has 1296 divisors, whose sum is σ = 475646738112. Its totient is φ = 21821184000.

The previous prime is 107003746013. The next prime is 107003746117. The reversal of 107003746080 is 80647300701.

107003746080 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 37 + 4 + 608 + 0 = 666.

It is a super-2 number, since 2×107003746080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 708634005 + ... + 708634155.

It is an arithmetic number, because the mean of its divisors is an integer number (367011372).

Almost surely, 2^107003746080 is an apocalyptic number.

107003746080 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 107003746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237823369056).

107003746080 is an abundant number, since it is smaller than the sum of its proper divisors (368642992032).

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

107003746080 is a wasteful number, since it uses less digits than its factorization.

107003746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 107003746080 in words is "one hundred seven billion, three million, seven hundred forty-six thousand, eighty".