106516272746556 has 288 divisors, whose sum is σ = 282504158576640. Its totient is φ = 33800268902400.

The previous prime is 106516272746537. The next prime is 106516272746591. The reversal of 106516272746556 is 655647272615601.

106516272746556 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 6 + 2 + 7 + 2 + 74 + 6 + 556 = 666.

106516272746556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106516272746556³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106516272746493 and 106516272746502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35072857470 + ... + 35072860506.

It is an arithmetic number, because the mean of its divisors is an integer number (980917217280).

Almost surely, 2^{106516272746556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106516272746556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141252079288320).

106516272746556 is an abundant number, since it is smaller than the sum of its proper divisors (175987885830084).

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

106516272746556 is a wasteful number, since it uses less digits than its factorization.

106516272746556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 106516272746556 in words is "one hundred six trillion, five hundred sixteen billion, two hundred seventy-two million, seven hundred forty-six thousand, five hundred fifty-six".