107070132000 has 384 divisors, whose sum is σ = 384178878720. Its totient is φ = 25906790400.

The previous prime is 107070131951. The next prime is 107070132007. The reversal of 107070132000 is 231070701.

It is a super-2 number, since 2×107070132000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107070132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9198184 + ... + 9209816.

It is an arithmetic number, because the mean of its divisors is an integer number (1000465830).

Almost surely, 2^107070132000 is an apocalyptic number.

107070132000 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 107070132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192089439360).

107070132000 is an abundant number, since it is smaller than the sum of its proper divisors (277108746720).

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

107070132000 is a wasteful number, since it uses less digits than its factorization.

107070132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The spelling of 107070132000 in words is "one hundred seven billion, seventy million, one hundred thirty-two thousand".