100032111 has 16 divisors (see below), whose sum is σ = 148820320. Its totient is φ = 66407040.

The previous prime is 100032103. The next prime is 100032137. The reversal of 100032111 is 111230001.

It is not a de Polignac number, because 100032111 - 2³ = 100032103 is a prime.

It is a super-2 number, since 2×100032111² = 20012846462232642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032093 and 100032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032161) 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 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (9301270).

Almost surely, 2^100032111 is an apocalyptic number.

100032111 is a deficient number, since it is larger than the sum of its proper divisors (48788209).

100032111 is a wasteful number, since it uses less digits than its factorization.

100032111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100032111 is about 10001.6054211311. The cubic root of 100032111 is about 464.2085600641.

Adding to 100032111 its reverse (111230001), we get a palindrome (211262112).

The spelling of 100032111 in words is "one hundred million, thirty-two thousand, one hundred eleven".