106296288 has 144 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 29777664.

The previous prime is 106296283. The next prime is 106296293. The reversal of 106296288 is 882692601.

It is an interprime number because it is at equal distance from previous prime (106296283) and next prime (106296293).

It is a super-2 number, since 2×106296288² = 22597801685157888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106296283) 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, 277345 + ... + 277727.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^106296288 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 106296288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

106296288 is an abundant number, since it is smaller than the sum of its proper divisors (224650272).

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

106296288 is a wasteful number, since it uses less digits than its factorization.

106296288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106296288 is about 10310.0091173578. The cubic root of 106296288 is about 473.7028884539.

The spelling of 106296288 in words is "one hundred six million, two hundred ninety-six thousand, two hundred eighty-eight".