105289932 has 48 divisors (see below), whose sum is σ = 268700544. Its totient is φ = 31824000.

The previous prime is 105289931. The next prime is 105289939. The reversal of 105289932 is 239982501.

It is a super-2 number, since 2×105289932² = 22171939561129248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105289931) 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, 68007 + ... + 69537.

It is an arithmetic number, because the mean of its divisors is an integer number (5597928).

Almost surely, 2^105289932 is an apocalyptic number.

105289932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105289932 is an abundant number, since it is smaller than the sum of its proper divisors (163410612).

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

105289932 is a wasteful number, since it uses less digits than its factorization.

105289932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105289932 is about 10261.0882463801. The cubic root of 105289932 is about 472.2032245142.

The spelling of 105289932 in words is "one hundred five million, two hundred eighty-nine thousand, nine hundred thirty-two".