105655040 has 72 divisors (see below), whose sum is σ = 254968560. Its totient is φ = 41947136.

The previous prime is 105655021. The next prime is 105655049. The reversal of 105655040 is 40556501.

It is a super-3 number, since 3×105655040³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105655049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251951 + ... + 252369.

It is an arithmetic number, because the mean of its divisors is an integer number (3541230).

Almost surely, 2^105655040 is an apocalyptic number.

105655040 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 105655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127484280).

105655040 is an abundant number, since it is smaller than the sum of its proper divisors (149313520).

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

105655040 is an equidigital number, since it uses as much as digits as its factorization.

105655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 105655040 is about 10278.8637504347. The cubic root of 105655040 is about 472.7484057255.

It can be divided in two parts, 10 and 5655040, that multiplied together give a square (56550400 = 7520²).

The spelling of 105655040 in words is "one hundred five million, six hundred fifty-five thousand, forty".