103589104 has 30 divisors (see below), whose sum is σ = 207632544. Its totient is φ = 50014080.

The previous prime is 103589099. The next prime is 103589119. The reversal of 103589104 is 401985301.

It is a super-3 number, since 3×103589104³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226444 + ... + 226900.

Almost surely, 2^103589104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103589104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103816272).

103589104 is an abundant number, since it is smaller than the sum of its proper divisors (104043440).

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

103589104 is an frugal number, since it uses more digits than its factorization.

103589104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 103589104 is about 10177.8732552533. The cubic root of 103589104 is about 469.6467906094.

Multiplying 103589104 by its sum of digits (31), we get a square (3211262224 = 56668²).

103589104 divided by its sum of digits (31) gives a square (3341584 = 1828²).

The spelling of 103589104 in words is "one hundred three million, five hundred eighty-nine thousand, one hundred four".