105655424 has 64 divisors (see below), whose sum is σ = 247133760. Its totient is φ = 44043264.

The previous prime is 105655411. The next prime is 105655427. The reversal of 105655424 is 424556501.

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

It is a super-2 number, since 2×105655424² = 22326137241239552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655427) 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, 31559 + ... + 34745.

It is an arithmetic number, because the mean of its divisors is an integer number (3861465).

Almost surely, 2^105655424 is an apocalyptic number.

105655424 is a gapful number since it is divisible by the number (14) 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 105655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123566880).

105655424 is an abundant number, since it is smaller than the sum of its proper divisors (141478336).

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

105655424 is an equidigital number, since it uses as much as digits as its factorization.

105655424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 105655424 is about 10278.8824295251. The cubic root of 105655424 is about 472.7489784547.

The spelling of 105655424 in words is "one hundred five million, six hundred fifty-five thousand, four hundred twenty-four".