106983288 has 64 divisors (see below), whose sum is σ = 298944000. Its totient is φ = 35449056.

The previous prime is 106983287. The next prime is 106983293. The reversal of 106983288 is 882389601.

It is a super-2 number, since 2×106983288² = 22890847822581888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106983287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37281 + ... + 40047.

It is an arithmetic number, because the mean of its divisors is an integer number (4671000).

Almost surely, 2^106983288 is an apocalyptic number.

106983288 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 106983288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149472000).

106983288 is an abundant number, since it is smaller than the sum of its proper divisors (191960712).

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

106983288 is a wasteful number, since it uses less digits than its factorization.

106983288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 106983288 is about 10343.2725962337. The cubic root of 106983288 is about 474.7212221974.

The spelling of 106983288 in words is "one hundred six million, nine hundred eighty-three thousand, two hundred eighty-eight".