106736120 has 64 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 40504320.

The previous prime is 106736111. The next prime is 106736143. The reversal of 106736120 is 21637601.

It is a super-2 number, since 2×106736120² = 22785198625308800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106736120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59801 + ... + 61559.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^106736120 is an apocalyptic number.

106736120 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 106736120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

106736120 is an abundant number, since it is smaller than the sum of its proper divisors (146070280).

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

106736120 is a wasteful number, since it uses less digits than its factorization.

106736120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106736120 is about 10331.3174377714. The cubic root of 106736120 is about 474.3553508062.

The spelling of 106736120 in words is "one hundred six million, seven hundred thirty-six thousand, one hundred twenty".