106596833616 has 720 divisors, whose sum is σ = 406288995840. Its totient is φ = 25761576960.

The previous prime is 106596833599. The next prime is 106596833627. The reversal of 106596833616 is 616338695601.

106596833616 is a `hidden beast` number, since 1 + 0 + 6 + 596 + 8 + 3 + 36 + 16 = 666.

It is a super-2 number, since 2×106596833616² (a number of 23 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 143 ways as a sum of consecutive naturals, for example, 54026806 + ... + 54028778.

It is an arithmetic number, because the mean of its divisors is an integer number (564290272).

Almost surely, 2^106596833616 is an apocalyptic number.

106596833616 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 106596833616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203144497920).

106596833616 is an abundant number, since it is smaller than the sum of its proper divisors (299692162224).

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

106596833616 is a wasteful number, since it uses less digits than its factorization.

106596833616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 106596833616 in words is "one hundred six billion, five hundred ninety-six million, eight hundred thirty-three thousand, six hundred sixteen".