105332130 has 32 divisors (see below), whose sum is σ = 280886400. Its totient is φ = 28088496.

The previous prime is 105332113. The next prime is 105332131. The reversal of 105332130 is 31233501.

105332130 is a `hidden beast` number, since 1 + 0 + 533 + 2 + 130 = 666.

It is a super-2 number, since 2×105332130² = 22189715220673800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105332131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194790 + ... + 195329.

It is an arithmetic number, because the mean of its divisors is an integer number (8777700).

Almost surely, 2^105332130 is an apocalyptic number.

105332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105332130 is an abundant number, since it is smaller than the sum of its proper divisors (175554270).

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

105332130 is a wasteful number, since it uses less digits than its factorization.

105332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390135 (or 390129 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105332130 is about 10263.1442550517. The cubic root of 105332130 is about 472.2662991435.

Adding to 105332130 its reverse (31233501), we get a palindrome (136565631).

The spelling of 105332130 in words is "one hundred five million, three hundred thirty-two thousand, one hundred thirty".