106500042 has 64 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 31478400.

The previous prime is 106500013. The next prime is 106500047. The reversal of 106500042 is 240005601.

It is a happy number.

106500042 is a `hidden beast` number, since 10 + 650 + 0 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×106500042² = 22684517892003528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106499988 and 106500024.

It is not an unprimeable number, because it can be changed into a prime (106500047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22168 + ... + 26540.

It is an arithmetic number, because the mean of its divisors is an integer number (4133430).

Almost surely, 2^106500042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106500042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

106500042 is an abundant number, since it is smaller than the sum of its proper divisors (158039478).

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

106500042 is a wasteful number, since it uses less digits than its factorization.

106500042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106500042 is about 10319.8857551816. The cubic root of 106500042 is about 474.0053676687.

Adding to 106500042 its reverse (240005601), we get a palindrome (346505643).

The spelling of 106500042 in words is "one hundred six million, five hundred thousand, forty-two".