107113777 has 2 divisors, whose sum is σ = 107113778. Its totient is φ = 107113776.

The previous prime is 107113763. The next prime is 107113789. The reversal of 107113777 is 777311701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 37957921 = 8316^2 + 6161^2 .

It is a cyclic number.

It is not a de Polignac number, because 107113777 - 2¹¹ = 107111729 is a prime.

It is a super-2 number, since 2×107113777² = 22946722446411458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107173777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53556888 + 53556889.

It is an arithmetic number, because the mean of its divisors is an integer number (53556889).

Almost surely, 2^107113777 is an apocalyptic number.

It is an amenable number.

107113777 is a deficient number, since it is larger than the sum of its proper divisors (1).

107113777 is an equidigital number, since it uses as much as digits as its factorization.

107113777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7203, while the sum is 34.

The square root of 107113777 is about 10349.5785904548. The cubic root of 107113777 is about 474.9141517983.

The spelling of 107113777 in words is "one hundred seven million, one hundred thirteen thousand, seven hundred seventy-seven".