106068746101824 has 336 divisors, whose sum is σ = 333305661072384. Its totient is φ = 31983361920000.

The previous prime is 106068746101823. The next prime is 106068746101859. The reversal of 106068746101824 is 428101647860601.

106068746101824 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 8 + 7 + 4 + 610 + 18 + 2 + 4 = 666.

It is a super-2 number, since 2×106068746101824² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106068746101823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690495797 + ... + 1690558539.

It is an arithmetic number, because the mean of its divisors is an integer number (991981134144).

Almost surely, 2^{106068746101824} 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 106068746101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166652830536192).

106068746101824 is an abundant number, since it is smaller than the sum of its proper divisors (227236914970560).

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

106068746101824 is a wasteful number, since it uses less digits than its factorization.

106068746101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64086 (or 64073 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 106068746101824 in words is "one hundred six trillion, sixty-eight billion, seven hundred forty-six million, one hundred one thousand, eight hundred twenty-four".