105303030 has 96 divisors (see below), whose sum is σ = 296407296. Its totient is φ = 23453376.

The previous prime is 105302969. The next prime is 105303041. The reversal of 105303030 is 30303501.

It is a super-2 number, since 2×105303030² = 22177456254361800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463777 + ... + 464003.

It is an arithmetic number, because the mean of its divisors is an integer number (3087576).

Almost surely, 2^105303030 is an apocalyptic number.

105303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148203648).

105303030 is an abundant number, since it is smaller than the sum of its proper divisors (191104266).

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

105303030 is a wasteful number, since it uses less digits than its factorization.

105303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 105303030 is about 10261.7264629301. The cubic root of 105303030 is about 472.2228042951. Note that the first 3 decimals are identical.

Adding to 105303030 its reverse (30303501), we get a palindrome (135606531).

The spelling of 105303030 in words is "one hundred five million, three hundred three thousand, thirty".