106010100105 has 32 divisors (see below), whose sum is σ = 208758353664. Its totient is φ = 44733931776.

The previous prime is 106010100061. The next prime is 106010100109. The reversal of 106010100105 is 501001010601.

It is not a de Polignac number, because 106010100105 - 2⁶ = 106010100041 is a prime.

It is a super-2 number, since 2×106010100105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106010100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38830174 + ... + 38832903.

It is an arithmetic number, because the mean of its divisors is an integer number (6523698552).

Almost surely, 2^106010100105 is an apocalyptic number.

106010100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106010100105 is a deficient number, since it is larger than the sum of its proper divisors (102748253559).

106010100105 is a wasteful number, since it uses less digits than its factorization.

106010100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77663105.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 106010100105 its reverse (501001010601), we get a palindrome (607011110706).

The spelling of 106010100105 in words is "one hundred six billion, ten million, one hundred thousand, one hundred five".