1137105 has 16 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 606384.

The previous prime is 1137091. The next prime is 1137109. The reversal of 1137105 is 5017311.

It is a happy number.

It is not a de Polignac number, because 1137105 - 2⁹ = 1136593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1137109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

2^1137105 is an apocalyptic number.

1137105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1137105 is a deficient number, since it is larger than the sum of its proper divisors (884655).

1137105 is an equidigital number, since it uses as much as digits as its factorization.

1137105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1137105 is about 1066.3512554501. The cubic root of 1137105 is about 104.3758895307.

The spelling of 1137105 in words is "one million, one hundred thirty-seven thousand, one hundred five".