106248870 has 96 divisors (see below), whose sum is σ = 340022592. Its totient is φ = 22415616.

The previous prime is 106248847. The next prime is 106248887. The reversal of 106248870 is 78842601.

106248870 is a `hidden beast` number, since 106 + 2 + 488 + 70 = 666.

It is a super-3 number, since 3×106248870³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1704 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (3541902).

Almost surely, 2^106248870 is an apocalyptic number.

106248870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106248870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170011296).

106248870 is an abundant number, since it is smaller than the sum of its proper divisors (233773722).

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

106248870 is a wasteful number, since it uses less digits than its factorization.

106248870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106248870 is about 10307.7092508472. The cubic root of 106248870 is about 473.6324395076.

The spelling of 106248870 in words is "one hundred six million, two hundred forty-eight thousand, eight hundred seventy".