1059100 has 72 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 337920.

The previous prime is 1059077. The next prime is 1059103. The reversal of 1059100 is 19501.

It is a super-2 number, since 2×1059100² = 2243385620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11856 + ... + 11944.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1059100 is an apocalyptic number.

1059100 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 1059100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1059100 is an abundant number, since it is smaller than the sum of its proper divisors (1753220).

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

1059100 is a wasteful number, since it uses less digits than its factorization.

1059100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 1059100 is about 1029.1258426451. The cubic root of 1059100 is about 101.9324171046.

The spelling of 1059100 in words is "one million, fifty-nine thousand, one hundred".