1105125 has 32 divisors (see below), whose sum is σ = 2106624. Its totient is φ = 504000.

The previous prime is 1105109. The next prime is 1105141. The reversal of 1105125 is 5215011.

It is an interprime number because it is at equal distance from previous prime (1105109) and next prime (1105141).

It is not a de Polignac number, because 1105125 - 2⁴ = 1105109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1105125 is a lucky number.

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 31 ways as a sum of consecutive naturals, for example, 2415 + ... + 2835.

It is an arithmetic number, because the mean of its divisors is an integer number (65832).

2^1105125 is an apocalyptic number.

1105125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1105125 is a deficient number, since it is larger than the sum of its proper divisors (1001499).

1105125 is an equidigital number, since it uses as much as digits as its factorization.

1105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1105125 is about 1051.2492568368. The cubic root of 1105125 is about 103.3880794422.

The spelling of 1105125 in words is "one million, one hundred five thousand, one hundred twenty-five".