106006601052 has 216 divisors, whose sum is σ = 300874770560. Its totient is φ = 31437331200.

The previous prime is 106006601047. The next prime is 106006601053. The reversal of 106006601052 is 250106600601.

It is a happy number.

106006601052 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 6 + 601 + 0 + 52 = 666.

It is a super-2 number, since 2×106006601052² (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 (106006601053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59253774 + ... + 59255562.

Almost surely, 2^106006601052 is an apocalyptic number.

106006601052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006601052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150437385280).

106006601052 is an abundant number, since it is smaller than the sum of its proper divisors (194868169508).

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

106006601052 is a wasteful number, since it uses less digits than its factorization.

106006601052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106006601052 in words is "one hundred six billion, six million, six hundred one thousand, fifty-two".