105500256 has 48 divisors (see below), whose sum is σ = 277575984. Its totient is φ = 35085824.

The previous prime is 105500251. The next prime is 105500261. The reversal of 105500256 is 652005501.

It is an interprime number because it is at equal distance from previous prime (105500251) and next prime (105500261).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105500256² = 22260608032131072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500251) 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, 52486 + ... + 54458.

It is an arithmetic number, because the mean of its divisors is an integer number (5782833).

Almost surely, 2^105500256 is an apocalyptic number.

105500256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105500256 is an abundant number, since it is smaller than the sum of its proper divisors (172075728).

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

105500256 is a wasteful number, since it uses less digits than its factorization.

105500256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105500256 is about 10271.3317539645. The cubic root of 105500256 is about 472.5174350387.

Adding to 105500256 its reverse (652005501), we get a palindrome (757505757).

The spelling of 105500256 in words is "one hundred five million, five hundred thousand, two hundred fifty-six".