107071072000 has 144 divisors (see below), whose sum is σ = 278326181952. Its totient is φ = 40966041600.

The previous prime is 107071071971. The next prime is 107071072007. The reversal of 107071072000 is 270170701.

It is a super-2 number, since 2×107071072000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107071072007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663262 + ... + 808738.

It is an arithmetic number, because the mean of its divisors is an integer number (1932820708).

Almost surely, 2^107071072000 is an apocalyptic number.

107071072000 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 107071072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139163090976).

107071072000 is an abundant number, since it is smaller than the sum of its proper divisors (171255109952).

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

107071072000 is an equidigital number, since it uses as much as digits as its factorization.

107071072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145531 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 25.

The spelling of 107071072000 in words is "one hundred seven billion, seventy-one million, seventy-two thousand".