106617336 has 96 divisors (see below), whose sum is σ = 328361040. Its totient is φ = 28664832.

The previous prime is 106617289. The next prime is 106617349. The reversal of 106617336 is 633716601.

It is a super-2 number, since 2×106617336² = 22734512671473792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106617297 and 106617306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17326 + ... + 22658.

Almost surely, 2^106617336 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 106617336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164180520).

106617336 is an abundant number, since it is smaller than the sum of its proper divisors (221743704).

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

106617336 is a wasteful number, since it uses less digits than its factorization.

106617336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106617336 is about 10325.5671030699. The cubic root of 106617336 is about 474.1793193594.

It can be divided in two parts, 106617 and 336, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 106617336 in words is "one hundred six million, six hundred seventeen thousand, three hundred thirty-six".