107106640 has 40 divisors (see below), whose sum is σ = 253731528. Its totient is φ = 42032640.

The previous prime is 107106583. The next prime is 107106641. The reversal of 107106640 is 46601701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 101687056 = 2328^2 + 10084^2 .

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

It is a super-2 number, since 2×107106640² = 22943664664179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8391 + ... + 16870.

Almost surely, 2^107106640 is an apocalyptic number.

107106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107106640 is an abundant number, since it is smaller than the sum of its proper divisors (146624888).

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

107106640 is a wasteful number, since it uses less digits than its factorization.

107106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25327 (or 25321 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 107106640 is about 10349.2337880637. The cubic root of 107106640 is about 474.9036037074.

The spelling of 107106640 in words is "one hundred seven million, one hundred six thousand, six hundred forty".