106777037 has 2 divisors, whose sum is σ = 106777038. Its totient is φ = 106777036.

The previous prime is 106777031. The next prime is 106777039. The reversal of 106777037 is 730777601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105904681 + 872356 = 10291^2 + 934^2 .

It is a cyclic number.

It is not a de Polignac number, because 106777037 - 2¹⁴ = 106760653 is a prime.

It is a super-2 number, since 2×106777037² = 22802671260998738, which contains 22 as substring.

Together with 106777039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106777031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53388518 + 53388519.

It is an arithmetic number, because the mean of its divisors is an integer number (53388519).

Almost surely, 2^106777037 is an apocalyptic number.

It is an amenable number.

106777037 is a deficient number, since it is larger than the sum of its proper divisors (1).

106777037 is an equidigital number, since it uses as much as digits as its factorization.

106777037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43218, while the sum is 38.

The square root of 106777037 is about 10333.2974891851. The cubic root of 106777037 is about 474.4159573384.

The spelling of 106777037 in words is "one hundred six million, seven hundred seventy-seven thousand, thirty-seven".