106203963672 has 128 divisors (see below), whose sum is σ = 304680499200. Its totient is φ = 34242134400.

The previous prime is 106203963653. The next prime is 106203963773. The reversal of 106203963672 is 276369302601.

106203963672 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 3 + 9 + 636 + 7 + 2 = 666.

It is a super-3 number, since 3×106203963672³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25958347 + ... + 25962437.

It is an arithmetic number, because the mean of its divisors is an integer number (2380316400).

Almost surely, 2^106203963672 is an apocalyptic number.

106203963672 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 106203963672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152340249600).

106203963672 is an abundant number, since it is smaller than the sum of its proper divisors (198476535528).

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

106203963672 is a wasteful number, since it uses less digits than its factorization.

106203963672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 106203963672 in words is "one hundred six billion, two hundred three million, nine hundred sixty-three thousand, six hundred seventy-two".