105155505 has 48 divisors (see below), whose sum is σ = 224340480. Its totient is φ = 44371584.

The previous prime is 105155467. The next prime is 105155507. The reversal of 105155505 is 505551501.

105155505 is a `hidden beast` number, since 1 + 0 + 5 + 155 + 505 = 666.

It is not a de Polignac number, because 105155505 - 2⁸ = 105155249 is a prime.

It is a super-2 number, since 2×105155505² = 22115360463610050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105155507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8745 + ... + 16934.

It is an arithmetic number, because the mean of its divisors is an integer number (4673760).

Almost surely, 2^105155505 is an apocalyptic number.

105155505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105155505 is an abundant number, since it is smaller than the sum of its proper divisors (119184975).

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

105155505 is a wasteful number, since it uses less digits than its factorization.

105155505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25710 (or 25707 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The square root of 105155505 is about 10254.5358256725. The cubic root of 105155505 is about 472.0021799789.

It can be divided in two parts, 10 and 5155505, that added together give a palindrome (5155515).

The spelling of 105155505 in words is "one hundred five million, one hundred fifty-five thousand, five hundred five".