107000 has 32 divisors (see below), whose sum is σ = 252720. Its totient is φ = 42400.

The previous prime is 106993. The next prime is 107021. The reversal of 107000 is 701.

It is a super-2 number, since 2×107000² = 22898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947 + ... + 1053.

2¹⁰⁷⁰⁰⁰ is an apocalyptic number.

107000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

107000 is an abundant number, since it is smaller than the sum of its proper divisors (145720).

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

107000 is a wasteful number, since it uses less digits than its factorization.

107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 107000 is about 327.1085446759. The cubic root of 107000 is about 47.4745939852.

Adding to 107000 its reverse (701), we get a palindrome (107701).

The spelling of 107000 in words is "one hundred seven thousand", and thus it is an iban number.