106652618028 has 240 divisors, whose sum is σ = 310242683520. Its totient is φ = 31675795200.

The previous prime is 106652618011. The next prime is 106652618029. The reversal of 106652618028 is 820816256601.

106652618028 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 2 + 618 + 0 + 28 = 666.

It is a super-2 number, since 2×106652618028² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106652618029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103245000 + ... + 103246032.

It is an arithmetic number, because the mean of its divisors is an integer number (1292677848).

Almost surely, 2^106652618028 is an apocalyptic number.

106652618028 is a gapful number since it is divisible by the number (18) 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 106652618028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155121341760).

106652618028 is an abundant number, since it is smaller than the sum of its proper divisors (203590065492).

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

106652618028 is a wasteful number, since it uses less digits than its factorization.

106652618028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 10665261 and 8028, that added together give a square (10673289 = 3267²).

The spelling of 106652618028 in words is "one hundred six billion, six hundred fifty-two million, six hundred eighteen thousand, twenty-eight".