107993105 has 12 divisors (see below), whose sum is σ = 142444596. Its totient is φ = 78540000.

The previous prime is 107993101. The next prime is 107993117. The reversal of 107993105 is 501399701.

It can be written as a sum of positive squares in 2 ways, for example, as 42981136 + 65011969 = 6556^2 + 8063^2 .

It is not a de Polignac number, because 107993105 - 2² = 107993101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107993101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88646 + ... + 89855.

It is an arithmetic number, because the mean of its divisors is an integer number (11870383).

Almost surely, 2^107993105 is an apocalyptic number.

It is an amenable number.

107993105 is a deficient number, since it is larger than the sum of its proper divisors (34451491).

107993105 is a wasteful number, since it uses less digits than its factorization.

107993105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178528 (or 178517 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 107993105 is about 10391.9731042762. The cubic root of 107993105 is about 476.2101809949.

The spelling of 107993105 in words is "one hundred seven million, nine hundred ninety-three thousand, one hundred five".