106135008 has 96 divisors (see below), whose sum is σ = 325898496. Its totient is φ = 29611008.

The previous prime is 106134997. The next prime is 106135009. The reversal of 106135008 is 800531601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×106135008³ (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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135009) 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, 27060 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (3394776).

Almost surely, 2^106135008 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 106135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162949248).

106135008 is an abundant number, since it is smaller than the sum of its proper divisors (219763488).

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

106135008 is a wasteful number, since it uses less digits than its factorization.

106135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106135008 is about 10302.1846226905. The cubic root of 106135008 is about 473.4631890406.

Adding to 106135008 its reverse (800531601), we get a palindrome (906666609).

The spelling of 106135008 in words is "one hundred six million, one hundred thirty-five thousand, eight".