107067105 has 48 divisors (see below), whose sum is σ = 197879760. Its totient is φ = 53366784.

The previous prime is 107067073. The next prime is 107067127. The reversal of 107067105 is 501760701.

It can be written as a sum of positive squares in 8 ways, for example, as 27625536 + 79441569 = 5256^2 + 8913^2 .

It is not a de Polignac number, because 107067105 - 2⁵ = 107067073 is a prime.

It is a super-2 number, since 2×107067105² = 22926729946162050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131941 + ... + 132749.

It is an arithmetic number, because the mean of its divisors is an integer number (4122495).

Almost surely, 2^107067105 is an apocalyptic number.

107067105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107067105 is a deficient number, since it is larger than the sum of its proper divisors (90812655).

107067105 is a wasteful number, since it uses less digits than its factorization.

107067105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107067105 is about 10347.3235669906. The cubic root of 107067105 is about 474.8451646771.

The spelling of 107067105 in words is "one hundred seven million, sixty-seven thousand, one hundred five".