105075480 has 32 divisors (see below), whose sum is σ = 315226800. Its totient is φ = 28020096.

The previous prime is 105075463. The next prime is 105075511. The reversal of 105075480 is 84570501.

It is a super-2 number, since 2×105075480² = 22081712994460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437695 + ... + 437934.

Almost surely, 2^105075480 is an apocalyptic number.

105075480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105075480 is an abundant number, since it is smaller than the sum of its proper divisors (210151320).

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

105075480 is a wasteful number, since it uses less digits than its factorization.

105075480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875643 (or 875639 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 105075480 is about 10250.6331511766. The cubic root of 105075480 is about 471.8824158886.

The spelling of 105075480 in words is "one hundred five million, seventy-five thousand, four hundred eighty".