107638125 has 80 divisors (see below), whose sum is σ = 209932800. Its totient is φ = 48024000.

The previous prime is 107638121. The next prime is 107638127. The reversal of 107638125 is 521836701.

It is not a de Polignac number, because 107638125 - 2² = 107638121 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107638121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 774306 + ... + 774444.

It is an arithmetic number, because the mean of its divisors is an integer number (2624160).

Almost surely, 2^107638125 is an apocalyptic number.

107638125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107638125 is a deficient number, since it is larger than the sum of its proper divisors (102294675).

107638125 is an equidigital number, since it uses as much as digits as its factorization.

107638125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 107638125 is about 10374.8795173727. The cubic root of 107638125 is about 475.6878308270.

The spelling of 107638125 in words is "one hundred seven million, six hundred thirty-eight thousand, one hundred twenty-five".