105300132 has 48 divisors (see below), whose sum is σ = 285573120. Its totient is φ = 29574432.

The previous prime is 105300121. The next prime is 105300137. The reversal of 105300132 is 231003501.

It is a happy number.

It is a super-2 number, since 2×105300132² = 22176235598434848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105300137) 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, 5668 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (5949440).

Almost surely, 2^105300132 is an apocalyptic number.

105300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105300132 is an abundant number, since it is smaller than the sum of its proper divisors (180272988).

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

105300132 is a wasteful number, since it uses less digits than its factorization.

105300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105300132 is about 10261.5852576490. The cubic root of 105300132 is about 472.2184723075.

Adding to 105300132 its reverse (231003501), we get a palindrome (336303633).

The spelling of 105300132 in words is "one hundred five million, three hundred thousand, one hundred thirty-two".