106652052782016 has 224 divisors, whose sum is σ = 341480930204160. Its totient is φ = 28678274187264.

The previous prime is 106652052781991. The next prime is 106652052782021. The reversal of 106652052782016 is 610287250256601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106652052782016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 106652052782016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589822116 + ... + 590002908.

Almost surely, 2^{106652052782016} is an apocalyptic number.

106652052782016 is a gapful number since it is divisible by the number (16) 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 106652052782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170740465102080).

106652052782016 is an abundant number, since it is smaller than the sum of its proper divisors (234828877422144).

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

106652052782016 is a wasteful number, since it uses less digits than its factorization.

106652052782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206651 (or 206641 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 106652052782016 in words is "one hundred six trillion, six hundred fifty-two billion, fifty-two million, seven hundred eighty-two thousand, sixteen".