106033116 has 24 divisors (see below), whose sum is σ = 282755200. Its totient is φ = 30295152.

The previous prime is 106033111. The next prime is 106033121. The reversal of 106033116 is 611330601.

It is an interprime number because it is at equal distance from previous prime (106033111) and next prime (106033121).

It is a super-2 number, since 2×106033116² = 22486043377338912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106033092 and 106033101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106033111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 631066 + ... + 631233.

Almost surely, 2^106033116 is an apocalyptic number.

It is an amenable number.

106033116 is an abundant number, since it is smaller than the sum of its proper divisors (176722084).

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

106033116 is a wasteful number, since it uses less digits than its factorization.

106033116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262313 (or 1262311 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106033116 is about 10297.2382705267. The cubic root of 106033116 is about 473.3116287519.

Adding to 106033116 its reverse (611330601), we get a palindrome (717363717).

The spelling of 106033116 in words is "one hundred six million, thirty-three thousand, one hundred sixteen".