106797852 has 180 divisors, whose sum is σ = 336428400. Its totient is φ = 29529360.

The previous prime is 106797829. The next prime is 106797857. The reversal of 106797852 is 258797601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×106797852² = 22811562383627808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106797798 and 106797807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106797857) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3445077 + ... + 3445107.

Almost surely, 2^106797852 is an apocalyptic number.

106797852 is a gapful number since it is divisible by the number (12) 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 106797852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168214200).

106797852 is an abundant number, since it is smaller than the sum of its proper divisors (229630548).

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

106797852 is an equidigital number, since it uses as much as digits as its factorization.

106797852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106797852 is about 10334.3046210183. The cubic root of 106797852 is about 474.4467827132.

The spelling of 106797852 in words is "one hundred six million, seven hundred ninety-seven thousand, eight hundred fifty-two".