106101077 has 2 divisors, whose sum is σ = 106101078. Its totient is φ = 106101076.

The previous prime is 106101059. The next prime is 106101113. The reversal of 106101077 is 770101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81558961 + 24542116 = 9031^2 + 4954^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101077 - 2¹⁶ = 106035541 is a prime.

It is a super-2 number, since 2×106101077² = 22514877081119858, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050538 + 53050539.

It is an arithmetic number, because the mean of its divisors is an integer number (53050539).

Almost surely, 2^106101077 is an apocalyptic number.

It is an amenable number.

106101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101077 is an equidigital number, since it uses as much as digits as its factorization.

106101077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 106101077 is about 10300.5377044114. The cubic root of 106101077 is about 473.4127288074.

Adding to 106101077 its reverse (770101601), we get a palindrome (876202678).

The spelling of 106101077 in words is "one hundred six million, one hundred one thousand, seventy-seven".