107072134000 has 160 divisors (see below), whose sum is σ = 279841214016. Its totient is φ = 39388953600.

The previous prime is 107072133997. The next prime is 107072134009. The reversal of 107072134000 is 431270701.

It is a happy number.

It is a super-2 number, since 2×107072134000² (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 (107072134009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7194567 + ... + 7209433.

Almost surely, 2^107072134000 is an apocalyptic number.

107072134000 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 107072134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139920607008).

107072134000 is an abundant number, since it is smaller than the sum of its proper divisors (172769080016).

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

107072134000 is a wasteful number, since it uses less digits than its factorization.

107072134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The spelling of 107072134000 in words is "one hundred seven billion, seventy-two million, one hundred thirty-four thousand".