103058000 has 60 divisors (see below), whose sum is σ = 250296852. Its totient is φ = 41041600.

The previous prime is 103057979. The next prime is 103058017. The reversal of 103058000 is 850301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 99760144 = 1816^2 + 9988^2 .

It is a super-3 number, since 3×103058000³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103058000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453887 + ... + 454113.

Almost surely, 2^103058000 is an apocalyptic number.

103058000 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 103058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125148426).

103058000 is an abundant number, since it is smaller than the sum of its proper divisors (147238852).

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

103058000 is an frugal number, since it uses more digits than its factorization.

103058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 103058000 is about 10151.7486178490. The cubic root of 103058000 is about 468.8427845959.

The spelling of 103058000 in words is "one hundred three million, fifty-eight thousand".