106301518399824 has 320 divisors, whose sum is σ = 310835956654080. Its totient is φ = 31012869888000.

The previous prime is 106301518399789. The next prime is 106301518399831. The reversal of 106301518399824 is 428993815103601.

It is a happy number.

It is a super-2 number, since 2×106301518399824² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5309490934 + ... + 5309510954.

It is an arithmetic number, because the mean of its divisors is an integer number (971362364544).

Almost surely, 2^{106301518399824} 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 106301518399824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155417978327040).

106301518399824 is an abundant number, since it is smaller than the sum of its proper divisors (204534438254256).

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

106301518399824 is a wasteful number, since it uses less digits than its factorization.

106301518399824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21730 (or 21724 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 106301518399824 in words is "one hundred six trillion, three hundred one billion, five hundred eighteen million, three hundred ninety-nine thousand, eight hundred twenty-four".