106005011997 has 32 divisors (see below), whose sum is σ = 150915308544. Its totient is φ = 65954016000.

The previous prime is 106005011939. The next prime is 106005011999. The reversal of 106005011997 is 799110500601.

It is not a de Polignac number, because 106005011997 - 2⁶ = 106005011933 is a prime.

It is a super-2 number, since 2×106005011997² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005011999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4385218 + ... + 4409324.

It is an arithmetic number, because the mean of its divisors is an integer number (4716103392).

Almost surely, 2^106005011997 is an apocalyptic number.

106005011997 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106005011997 is a deficient number, since it is larger than the sum of its proper divisors (44910296547).

106005011997 is a wasteful number, since it uses less digits than its factorization.

106005011997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24849.

The product of its (nonzero) digits is 17010, while the sum is 39.

The spelling of 106005011997 in words is "one hundred six billion, five million, eleven thousand, nine hundred ninety-seven".