105432030 has 80 divisors (see below), whose sum is σ = 309293424. Its totient is φ = 25557120.

The previous prime is 105432013. The next prime is 105432037. The reversal of 105432030 is 30234501.

It is a super-2 number, since 2×105432030² = 22231825899841800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105431994 and 105432012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2994 + ... + 14826.

Almost surely, 2^105432030 is an apocalyptic number.

105432030 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 105432030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154646712).

105432030 is an abundant number, since it is smaller than the sum of its proper divisors (203861394).

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

105432030 is a wasteful number, since it uses less digits than its factorization.

105432030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105432030 is about 10268.0100311599. The cubic root of 105432030 is about 472.4155555818.

Adding to 105432030 its reverse (30234501), we get a palindrome (135666531).

The spelling of 105432030 in words is "one hundred five million, four hundred thirty-two thousand, thirty".