106011659988 has 108 divisors (see below), whose sum is σ = 304575997908. Its totient is φ = 30902135040.

The previous prime is 106011659921. The next prime is 106011659989. The reversal of 106011659988 is 889956110601.

106011659988 is a `hidden beast` number, since 10 + 601 + 16 + 5 + 9 + 9 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35941334724 + 70070325264 = 189582^2 + 264708^2 .

It is a super-2 number, since 2×106011659988² (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 (106011659989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144793 + ... + 482688.

Almost surely, 2^106011659988 is an apocalyptic number.

106011659988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106011659988 is an abundant number, since it is smaller than the sum of its proper divisors (198564337920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106011659988 is a wasteful number, since it uses less digits than its factorization.

106011659988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627542 (or 627518 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 106011659988 in words is "one hundred six billion, eleven million, six hundred fifty-nine thousand, nine hundred eighty-eight".