106912368 has 60 divisors (see below), whose sum is σ = 303449328. Its totient is φ = 35132160.

The previous prime is 106912363. The next prime is 106912381. The reversal of 106912368 is 863219601.

It is a super-3 number, since 3×106912368³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106912361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4996 + ... + 15452.

Almost surely, 2^106912368 is an apocalyptic number.

106912368 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 106912368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724664).

106912368 is an abundant number, since it is smaller than the sum of its proper divisors (196536960).

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

106912368 is a wasteful number, since it uses less digits than its factorization.

106912368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106912368 is about 10339.8437125519. The cubic root of 106912368 is about 474.6163002921.

The spelling of 106912368 in words is "one hundred six million, nine hundred twelve thousand, three hundred sixty-eight".