107004105 has 64 divisors (see below), whose sum is σ = 215712000. Its totient is φ = 49890816.

The previous prime is 107004059. The next prime is 107004109. The reversal of 107004105 is 501400701.

It is not a de Polignac number, because 107004105 - 2¹⁰ = 107003081 is a prime.

It is a super-2 number, since 2×107004105² = 22899756973702050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107004109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31741 + ... + 34949.

It is an arithmetic number, because the mean of its divisors is an integer number (3370500).

Almost surely, 2^107004105 is an apocalyptic number.

107004105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107004105 is an abundant number, since it is smaller than the sum of its proper divisors (108707895).

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

107004105 is a wasteful number, since it uses less digits than its factorization.

107004105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107004105 is about 10344.2788535499. The cubic root of 107004105 is about 474.7520109027.

Adding to 107004105 its reverse (501400701), we get a palindrome (608404806).

The spelling of 107004105 in words is "one hundred seven million, four thousand, one hundred five".