106099136390016 has 1536 divisors, whose sum is σ = 393505094062080. Its totient is φ = 26642382520320.

The previous prime is 106099136389991. The next prime is 106099136390063. The reversal of 106099136390016 is 610093631990601.

106099136390016 is a `hidden beast` number, since 1 + 0 + 609 + 9 + 13 + 6 + 3 + 9 + 0 + 0 + 16 = 666.

It is a super-2 number, since 2×106099136390016² (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 191 ways as a sum of consecutive naturals, for example, 245032647336 + ... + 245032647768.

It is an arithmetic number, because the mean of its divisors is an integer number (256188212280).

Almost surely, 2^{106099136390016} is an apocalyptic number.

106099136390016 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 106099136390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196752547031040).

106099136390016 is an abundant number, since it is smaller than the sum of its proper divisors (287405957672064).

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

106099136390016 is a wasteful number, since it uses less digits than its factorization.

106099136390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 106099136390016 in words is "one hundred six trillion, ninety-nine billion, one hundred thirty-six million, three hundred ninety thousand, sixteen".