106883840 has 144 divisors (see below), whose sum is σ = 298260480. Its totient is φ = 35942400.

The previous prime is 106883839. The next prime is 106883851. The reversal of 106883840 is 48388601.

It is a super-2 number, since 2×106883840² = 22848310506291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106883794 and 106883803.

It is a congruent number.

It is an unprimeable number.

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, 707765 + ... + 707915.

Almost surely, 2^106883840 is an apocalyptic number.

106883840 is a gapful number since it is divisible by the number (10) 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 106883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130240).

106883840 is an abundant number, since it is smaller than the sum of its proper divisors (191376640).

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

106883840 is an equidigital number, since it uses as much as digits as its factorization.

106883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 106883840 is about 10338.4641025638. The cubic root of 106883840 is about 474.5740817332.

The spelling of 106883840 in words is "one hundred six million, eight hundred eighty-three thousand, eight hundred forty".