106824180 has 48 divisors (see below), whose sum is σ = 307198080. Its totient is φ = 27715968.

The previous prime is 106824173. The next prime is 106824187. The reversal of 106824180 is 81428601.

It is an interprime number because it is at equal distance from previous prime (106824173) and next prime (106824187).

It is a super-2 number, since 2×106824180² = 22822810865344800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21840 + ... + 26279.

It is an arithmetic number, because the mean of its divisors is an integer number (6399960).

Almost surely, 2^106824180 is an apocalyptic number.

106824180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106824180 is an abundant number, since it is smaller than the sum of its proper divisors (200373900).

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

106824180 is a wasteful number, since it uses less digits than its factorization.

106824180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48168 (or 48166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 106824180 is about 10335.5783582729. The cubic root of 106824180 is about 474.4857666701.

The spelling of 106824180 in words is "one hundred six million, eight hundred twenty-four thousand, one hundred eighty".