106010100109 has 2 divisors, whose sum is σ = 106010100110. Its totient is φ = 106010100108.

The previous prime is 106010100061. The next prime is 106010100113. The reversal of 106010100109 is 901001010601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60517476009 + 45492624100 = 246003^2 + 213290^2 .

It is a cyclic number.

It is not a de Polignac number, because 106010100109 - 2¹³ = 106010091917 is a prime.

It is a super-2 number, since 2×106010100109² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106010100509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005050054 + 53005050055.

It is an arithmetic number, because the mean of its divisors is an integer number (53005050055).

Almost surely, 2^106010100109 is an apocalyptic number.

It is an amenable number.

106010100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010100109 is an equidigital number, since it uses as much as digits as its factorization.

106010100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 106010100109 in words is "one hundred six billion, ten million, one hundred thousand, one hundred nine".