106496568 has 96 divisors (see below), whose sum is σ = 307812960. Its totient is φ = 33146880.

The previous prime is 106496531. The next prime is 106496569. The reversal of 106496568 is 865694601.

106496568 is a `hidden beast` number, since 106 + 496 + 56 + 8 = 666.

It is a super-2 number, since 2×106496568² = 22683037991557248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106496569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204148 + ... + 204668.

It is an arithmetic number, because the mean of its divisors is an integer number (3206385).

Almost surely, 2^106496568 is an apocalyptic number.

106496568 is a gapful number since it is divisible by the number (18) 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 106496568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906480).

106496568 is an abundant number, since it is smaller than the sum of its proper divisors (201316392).

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

106496568 is a wasteful number, since it uses less digits than its factorization.

106496568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106496568 is about 10319.7174379922. The cubic root of 106496568 is about 474.0002136409. Note that the first 3 decimals are identical.

The spelling of 106496568 in words is "one hundred six million, four hundred ninety-six thousand, five hundred sixty-eight".