106845120 has 168 divisors, whose sum is σ = 383718816. Its totient is φ = 27236352.

The previous prime is 106845103. The next prime is 106845133. The reversal of 106845120 is 21548601.

It is a super-2 number, since 2×106845120² = 22831759335628800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 65434 + ... + 67046.

Almost surely, 2^106845120 is an apocalyptic number.

106845120 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 106845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191859408).

106845120 is an abundant number, since it is smaller than the sum of its proper divisors (276873696).

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

106845120 is a wasteful number, since it uses less digits than its factorization.

106845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106845120 is about 10336.5913143550. The cubic root of 106845120 is about 474.5167680245.

The spelling of 106845120 in words is "one hundred six million, eight hundred forty-five thousand, one hundred twenty".