106135500 has 96 divisors (see below), whose sum is σ = 311613120. Its totient is φ = 28070400.

The previous prime is 106135489. The next prime is 106135507. The reversal of 106135500 is 5531601.

It is a happy number.

It is a super-2 number, since 2×106135500² = 22529488720500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106135507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259296 + ... + 259704.

It is an arithmetic number, because the mean of its divisors is an integer number (3245970).

Almost surely, 2^106135500 is an apocalyptic number.

106135500 is a gapful number since it is divisible by the number (10) 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 106135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806560).

106135500 is an abundant number, since it is smaller than the sum of its proper divisors (205477620).

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

106135500 is a wasteful number, since it uses less digits than its factorization.

106135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 106135500 is about 10302.2085010933. The cubic root of 106135500 is about 473.4639206356.

The spelling of 106135500 in words is "one hundred six million, one hundred thirty-five thousand, five hundred".