106010475105312 has 144 divisors (see below), whose sum is σ = 308932582959000. Its totient is φ = 34462399795200.

The previous prime is 106010475105233. The next prime is 106010475105313. The reversal of 106010475105312 is 213501574010601.

106010475105312 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 104 + 7 + 5 + 10 + 531 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78502506106896 + 27507968998416 = 8860164^2 + 5244804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×106010475105312³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106010475105313) 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 23 ways as a sum of consecutive naturals, for example, 30827262 + ... + 34093122.

Almost surely, 2^{106010475105312} is an apocalyptic number.

106010475105312 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 106010475105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154466291479500).

106010475105312 is an abundant number, since it is smaller than the sum of its proper divisors (202922107853688).

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

106010475105312 is a wasteful number, since it uses less digits than its factorization.

106010475105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268667 (or 3268656 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 106010475105312 in words is "one hundred six trillion, ten billion, four hundred seventy-five million, one hundred five thousand, three hundred twelve".