105007455 has 32 divisors (see below), whose sum is σ = 213350400. Its totient is φ = 48002976.

The previous prime is 105007423. The next prime is 105007457. The reversal of 105007455 is 554700501.

It is not a de Polignac number, because 105007455 - 2⁵ = 105007423 is a prime.

It is a super-2 number, since 2×105007455² = 22053131211154050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105007457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54615 + ... + 56504.

It is an arithmetic number, because the mean of its divisors is an integer number (6667200).

Almost surely, 2^105007455 is an apocalyptic number.

105007455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105007455 is an abundant number, since it is smaller than the sum of its proper divisors (108342945).

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

105007455 is a wasteful number, since it uses less digits than its factorization.

105007455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111140 (or 111134 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105007455 is about 10247.3145262552. The cubic root of 105007455 is about 471.7805629765.

Adding to 105007455 its reverse (554700501), we get a palindrome (659707956).

It can be divided in two parts, 10500 and 7455, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 105007455 in words is "one hundred five million, seven thousand, four hundred fifty-five".