107638071 has 16 divisors (see below), whose sum is σ = 146884320. Its totient is φ = 70112640.

The previous prime is 107638057. The next prime is 107638081. The reversal of 107638071 is 170836701.

It is not a de Polignac number, because 107638071 - 2⁵ = 107638039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107638031) 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, 446511 + ... + 446751.

It is an arithmetic number, because the mean of its divisors is an integer number (9180270).

Almost surely, 2^107638071 is an apocalyptic number.

107638071 is a deficient number, since it is larger than the sum of its proper divisors (39246249).

107638071 is an frugal number, since it uses more digits than its factorization.

107638071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 107638071 is about 10374.8769149325. The cubic root of 107638071 is about 475.6877512792.

The spelling of 107638071 in words is "one hundred seven million, six hundred thirty-eight thousand, seventy-one".