106821140 has 12 divisors (see below), whose sum is σ = 224324436. Its totient is φ = 42728448.

The previous prime is 106821137. The next prime is 106821167. The reversal of 106821140 is 41128601.

It can be written as a sum of positive squares in 2 ways, for example, as 40170244 + 66650896 = 6338^2 + 8164^2 .

It is a super-2 number, since 2×106821140² = 22821511901799200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2670509 + ... + 2670548.

It is an arithmetic number, because the mean of its divisors is an integer number (18693703).

Almost surely, 2^106821140 is an apocalyptic number.

106821140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106821140 is an abundant number, since it is smaller than the sum of its proper divisors (117503296).

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

106821140 is a wasteful number, since it uses less digits than its factorization.

106821140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341066 (or 5341064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106821140 is about 10335.4312924038. The cubic root of 106821140 is about 474.4812656591.

Adding to 106821140 its reverse (41128601), we get a palindrome (147949741).

The spelling of 106821140 in words is "one hundred six million, eight hundred twenty-one thousand, one hundred forty".