106517488 has 80 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 40147200.

The previous prime is 106517483. The next prime is 106517491. The reversal of 106517488 is 884715601.

It is a super-2 number, since 2×106517488² = 22691950499660288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106517488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106517483) 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, 36798 + ... + 39586.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2^106517488 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 106517488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

106517488 is an abundant number, since it is smaller than the sum of its proper divisors (159179792).

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

106517488 is a wasteful number, since it uses less digits than its factorization.

106517488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 106517488 is about 10320.7309818636. The cubic root of 106517488 is about 474.0312488671.

The spelling of 106517488 in words is "one hundred six million, five hundred seventeen thousand, four hundred eighty-eight".