106856180 has 12 divisors (see below), whose sum is σ = 224398020. Its totient is φ = 42742464.

The previous prime is 106856177. The next prime is 106856219. The reversal of 106856180 is 81658601.

It can be written as a sum of positive squares in 2 ways, for example, as 26646244 + 80209936 = 5162^2 + 8956^2 .

It is a super-3 number, since 3×106856180³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106856180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2671385 + ... + 2671424.

It is an arithmetic number, because the mean of its divisors is an integer number (18699835).

Almost surely, 2^106856180 is an apocalyptic number.

106856180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106856180 is an abundant number, since it is smaller than the sum of its proper divisors (117541840).

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

106856180 is a wasteful number, since it uses less digits than its factorization.

106856180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342818 (or 5342816 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 106856180 is about 10337.1262931242. The cubic root of 106856180 is about 474.5331405532.

The spelling of 106856180 in words is "one hundred six million, eight hundred fifty-six thousand, one hundred eighty".