107070640 has 40 divisors (see below), whose sum is σ = 250363440. Its totient is φ = 42583296.

The previous prime is 107070619. The next prime is 107070647. The reversal of 107070640 is 46070701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107070640² = 22928243900019200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107070647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10582 + ... + 18058.

It is an arithmetic number, because the mean of its divisors is an integer number (6259086).

Almost surely, 2^107070640 is an apocalyptic number.

107070640 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 107070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125181720).

107070640 is an abundant number, since it is smaller than the sum of its proper divisors (143292800).

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

107070640 is a wasteful number, since it uses less digits than its factorization.

107070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7663 counting only the distinct ones).

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

The square root of 107070640 is about 10347.4943826996. The cubic root of 107070640 is about 474.8503905560.

The spelling of 107070640 in words is "one hundred seven million, seventy thousand, six hundred forty".