106824536 has 64 divisors (see below), whose sum is σ = 259526400. Its totient is φ = 40030848.

The previous prime is 106824533. The next prime is 106824563. The reversal of 106824536 is 635428601.

It is a super-2 number, since 2×106824536² = 22822962983230592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106824496 and 106824505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9971 + ... + 17693.

It is an arithmetic number, because the mean of its divisors is an integer number (4055100).

Almost surely, 2^106824536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106824536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129763200).

106824536 is an abundant number, since it is smaller than the sum of its proper divisors (152701864).

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

106824536 is a wasteful number, since it uses less digits than its factorization.

106824536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 106824536 is about 10335.5955803234. The cubic root of 106824536 is about 474.4862937566.

The spelling of 106824536 in words is "one hundred six million, eight hundred twenty-four thousand, five hundred thirty-six".