106837120 has 64 divisors (see below), whose sum is σ = 275075640. Its totient is φ = 39444480.

The previous prime is 106837117. The next prime is 106837123. The reversal of 106837120 is 21738601.

It is an interprime number because it is at equal distance from previous prime (106837117) and next prime (106837123).

It can be written as a sum of positive squares in 4 ways, for example, as 65157184 + 41679936 = 8072^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106837120² = 22828340419788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106837123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900 + ... + 14740.

Almost surely, 2^106837120 is an apocalyptic number.

106837120 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 106837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137537820).

106837120 is an abundant number, since it is smaller than the sum of its proper divisors (168238520).

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

106837120 is a wasteful number, since it uses less digits than its factorization.

106837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106837120 is about 10336.2043323456. The cubic root of 106837120 is about 474.5049246233.

The spelling of 106837120 in words is "one hundred six million, eight hundred thirty-seven thousand, one hundred twenty".