106355113 has 2 divisors, whose sum is σ = 106355114. Its totient is φ = 106355112.

The previous prime is 106355099. The next prime is 106355149. The reversal of 106355113 is 311553601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104591529 + 1763584 = 10227^2 + 1328^2 .

It is a cyclic number.

It is not a de Polignac number, because 106355113 - 2¹³ = 106346921 is a prime.

It is a super-2 number, since 2×106355113² = 22622820122485538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106358113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53177556 + 53177557.

It is an arithmetic number, because the mean of its divisors is an integer number (53177557).

Almost surely, 2^106355113 is an apocalyptic number.

It is an amenable number.

106355113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106355113 is an equidigital number, since it uses as much as digits as its factorization.

106355113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 106355113 is about 10312.8615330567. The cubic root of 106355113 is about 473.7902556743.

The spelling of 106355113 in words is "one hundred six million, three hundred fifty-five thousand, one hundred thirteen".