106411240530 has 72 divisors (see below), whose sum is σ = 321839724492. Its totient is φ = 24322568256.

The previous prime is 106411240487. The next prime is 106411240549. The reversal of 106411240530 is 35042114601.

It is a happy number.

106411240530 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 124 + 0 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100113389649 + 6297850881 = 316407^2 + 79359^2 .

It is a super-2 number, since 2×106411240530² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106411240494 and 106411240503.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12060357 + ... + 12069176.

Almost surely, 2^106411240530 is an apocalyptic number.

106411240530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106411240530 is an abundant number, since it is smaller than the sum of its proper divisors (215428483962).

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

106411240530 is a wasteful number, since it uses less digits than its factorization.

106411240530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24129560 (or 24129550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 106411240530 in words is "one hundred six billion, four hundred eleven million, two hundred forty thousand, five hundred thirty".