100105932 has 24 divisors (see below), whose sum is σ = 234180016. Its totient is φ = 33283008.

The previous prime is 100105921. The next prime is 100105939. The reversal of 100105932 is 239501001.

It is a junction number, because it is equal to n+sod(n) for n = 100105899 and 100105908.

It is not an unprimeable number, because it can be changed into a prime (100105939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5743 + ... + 15270.

Almost surely, 2^100105932 is an apocalyptic number.

100105932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100105932 is an abundant number, since it is smaller than the sum of its proper divisors (134074084).

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

100105932 is a wasteful number, since it uses less digits than its factorization.

100105932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21417 (or 21415 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100105932 is about 10005.2951980439. The cubic root of 100105932 is about 464.3227231181.

Adding to 100105932 its reverse (239501001), we get a palindrome (339606933).

The spelling of 100105932 in words is "one hundred million, one hundred five thousand, nine hundred thirty-two".