350100 has 54 divisors (see below), whose sum is σ = 1100190. Its totient is φ = 93120.

The previous prime is 350093. The next prime is 350107. The reversal of 350100 is 1053.

It is an interprime number because it is at equal distance from previous prime (350093) and next prime (350107).

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 345744 = 66^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350107) by changing a digit.

350100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 706 + ... + 1094.

2³⁵⁰¹⁰⁰ is an apocalyptic number.

350100 is a gapful number since it is divisible by the number (30) 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 350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550095).

350100 is an abundant number, since it is smaller than the sum of its proper divisors (750090).

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

350100 is a wasteful number, since it uses less digits than its factorization.

350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 350100 is about 591.6924876995. The cubic root of 350100 is about 70.4796983946.

Adding to 350100 its reverse (1053), we get a palindrome (351153).

The spelling of 350100 in words is "three hundred fifty thousand, one hundred".