106506576 has 200 divisors, whose sum is σ = 348572928. Its totient is φ = 31104000.

The previous prime is 106506563. The next prime is 106506593. The reversal of 106506576 is 675605601.

It is a happy number.

It is a super-2 number, since 2×106506576² = 22687301462487552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106506576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441816 + ... + 442056.

Almost surely, 2^106506576 is an apocalyptic number.

106506576 is a gapful number since it is divisible by the number (16) 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 106506576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174286464).

106506576 is an abundant number, since it is smaller than the sum of its proper divisors (242066352).

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

106506576 is a wasteful number, since it uses less digits than its factorization.

106506576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 106506576 is about 10320.2023235981. The cubic root of 106506576 is about 474.0150612103.

The spelling of 106506576 in words is "one hundred six million, five hundred six thousand, five hundred seventy-six".