105130032 has 40 divisors (see below), whose sum is σ = 310384896. Its totient is φ = 30037056.

The previous prime is 105130031. The next prime is 105130037. The reversal of 105130032 is 230031501.

It is a happy number.

It is a super-2 number, since 2×105130032² = 22104647256642048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105129993 and 105130020.

It is not an unprimeable number, because it can be changed into a prime (105130031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156108 + ... + 156779.

Almost surely, 2^105130032 is an apocalyptic number.

105130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105130032 is an abundant number, since it is smaller than the sum of its proper divisors (205254864).

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

105130032 is a wasteful number, since it uses less digits than its factorization.

105130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312905 (or 312899 counting only the distinct ones).

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

The square root of 105130032 is about 10253.2937147046. The cubic root of 105130032 is about 471.9640641031.

Adding to 105130032 its reverse (230031501), we get a palindrome (335161533).

The spelling of 105130032 in words is "one hundred five million, one hundred thirty thousand, thirty-two".