106531500348 has 864 divisors, whose sum is σ = 384294456000. Its totient is φ = 25458499584.

The previous prime is 106531500281. The next prime is 106531500353. The reversal of 106531500348 is 843005135601.

106531500348 is a `hidden beast` number, since 106 + 5 + 3 + 1 + 500 + 3 + 48 = 666.

It is a super-2 number, since 2×106531500348² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 305247678 + ... + 305248026.

It is an arithmetic number, because the mean of its divisors is an integer number (444785250).

Almost surely, 2^106531500348 is an apocalyptic number.

106531500348 is a gapful number since it is divisible by the number (18) 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 106531500348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192147228000).

106531500348 is an abundant number, since it is smaller than the sum of its proper divisors (277762955652).

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

106531500348 is a wasteful number, since it uses less digits than its factorization.

106531500348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 106531500348 its reverse (843005135601), we get a palindrome (949536635949).

The spelling of 106531500348 in words is "one hundred six billion, five hundred thirty-one million, five hundred thousand, three hundred forty-eight".