106011305652 has 48 divisors (see below), whose sum is σ = 299326043520. Its totient is φ = 28507241472.

The previous prime is 106011305591. The next prime is 106011305693. The reversal of 106011305652 is 256503110601.

It is a super-3 number, since 3×106011305652³ (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37117377 + ... + 37120232.

It is an arithmetic number, because the mean of its divisors is an integer number (6235959240).

Almost surely, 2^106011305652 is an apocalyptic number.

106011305652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106011305652 is an abundant number, since it is smaller than the sum of its proper divisors (193314737868).

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

106011305652 is a wasteful number, since it uses less digits than its factorization.

106011305652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74237640 (or 74237638 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

It can be divided in two parts, 10601 and 1305652, that added together give a triangular number (1316253 = T₁₆₂₂).

The spelling of 106011305652 in words is "one hundred six billion, eleven million, three hundred five thousand, six hundred fifty-two".