105999839390016 has 1344 divisors, whose sum is σ = 392076162150400. Its totient is φ = 27815650283520.

The previous prime is 105999839389987. The next prime is 105999839390021. The reversal of 105999839390016 is 610093938999501.

105999839390016 is a `hidden beast` number, since 1 + 0 + 59 + 9 + 98 + 393 + 90 + 0 + 16 = 666.

It is a super-2 number, since 2×105999839390016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5319397845 + ... + 5319417771.

Almost surely, 2^{105999839390016} is an apocalyptic number.

105999839390016 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 105999839390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196038081075200).

105999839390016 is an abundant number, since it is smaller than the sum of its proper divisors (286076322760384).

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

105999839390016 is a wasteful number, since it uses less digits than its factorization.

105999839390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 127545840, while the sum is 72.

The spelling of 105999839390016 in words is "one hundred five trillion, nine hundred ninety-nine billion, eight hundred thirty-nine million, three hundred ninety thousand, sixteen".