106535522247660 has 144 divisors (see below), whose sum is σ = 352606965564672. Its totient is φ = 25821574416000.

The previous prime is 106535522247641. The next prime is 106535522247677. The reversal of 106535522247660 is 66742225535601.

106535522247660 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 552 + 2 + 24 + 7 + 6 + 60 = 666.

It is a super-2 number, since 2×106535522247660² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106535522247597 and 106535522247606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4369147 + ... + 15236813.

It is an arithmetic number, because the mean of its divisors is an integer number (2448659483088).

Almost surely, 2^{106535522247660} is an apocalyptic number.

106535522247660 is a gapful number since it is divisible by the number (10) 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 106535522247660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176303482782336).

106535522247660 is an abundant number, since it is smaller than the sum of its proper divisors (246071443317012).

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

106535522247660 is a wasteful number, since it uses less digits than its factorization.

106535522247660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872644 (or 10872639 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 106535522247660 in words is "one hundred six trillion, five hundred thirty-five billion, five hundred twenty-two million, two hundred forty-seven thousand, six hundred sixty".