105396030 has 48 divisors (see below), whose sum is σ = 276217344. Its totient is φ = 27881280.

The previous prime is 105395989. The next prime is 105396041. The reversal of 105396030 is 30693501.

105396030 is a `hidden beast` number, since 1 + 0 + 53 + 9 + 603 + 0 = 666.

It is a super-2 number, since 2×105396030² = 22216646279521800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105395985 and 105396003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6820 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (5754528).

Almost surely, 2^105396030 is an apocalyptic number.

105396030 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 105396030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138108672).

105396030 is an abundant number, since it is smaller than the sum of its proper divisors (170821314).

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

105396030 is a wasteful number, since it uses less digits than its factorization.

105396030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105396030 is about 10266.2568641156. The cubic root of 105396030 is about 472.3617803485.

The spelling of 105396030 in words is "one hundred five million, three hundred ninety-six thousand, thirty".