106881820 has 24 divisors (see below), whose sum is σ = 232192800. Its totient is φ = 41278272.

The previous prime is 106881811. The next prime is 106881829. The reversal of 106881820 is 28188601.

It is an interprime number because it is at equal distance from previous prime (106881811) and next prime (106881829).

It is a super-2 number, since 2×106881820² = 22847446893024800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106881829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91560 + ... + 92719.

It is an arithmetic number, because the mean of its divisors is an integer number (9674700).

Almost surely, 2^106881820 is an apocalyptic number.

106881820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106881820 is an abundant number, since it is smaller than the sum of its proper divisors (125310980).

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

106881820 is a wasteful number, since it uses less digits than its factorization.

106881820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184317 (or 184315 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 106881820 is about 10338.3664086741. The cubic root of 106881820 is about 474.5710920525.

It can be divided in two parts, 106881 and 820, that added together give a palindrome (107701).

The spelling of 106881820 in words is "one hundred six million, eight hundred eighty-one thousand, eight hundred twenty".