107200079 has 32 divisors (see below), whose sum is σ = 138101760. Its totient is φ = 81050112.

The previous prime is 107200039. The next prime is 107200081. The reversal of 107200079 is 970002701.

107200079 = T₄₁₀ + T₄₁₁ + ... + T₈₉₂.

It is a cyclic number.

It is not a de Polignac number, because 107200079 - 2²⁴ = 90422863 is a prime.

It is a super-2 number, since 2×107200079² = 22983713875212482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144692 + ... + 145430.

It is an arithmetic number, because the mean of its divisors is an integer number (4315680).

Almost surely, 2^107200079 is an apocalyptic number.

107200079 is a deficient number, since it is larger than the sum of its proper divisors (30901681).

107200079 is a wasteful number, since it uses less digits than its factorization.

107200079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 107200079 is about 10353.7470994805. The cubic root of 107200079 is about 475.0416643047.

The spelling of 107200079 in words is "one hundred seven million, two hundred thousand, seventy-nine".