100111004 has 24 divisors (see below), whose sum is σ = 203507808. Its totient is φ = 42200640.

The previous prime is 100111003. The next prime is 100111007. The reversal of 100111004 is 400111001.

It is a junction number, because it is equal to n+sod(n) for n = 100110982 and 100111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001) 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, 27599 + ... + 31014.

It is an arithmetic number, because the mean of its divisors is an integer number (8479492).

Almost surely, 2^100111004 is an apocalyptic number.

100111004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100111004 is an abundant number, since it is smaller than the sum of its proper divisors (103396804).

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

100111004 is a wasteful number, since it uses less digits than its factorization.

100111004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58685 (or 58683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100111004 is about 10005.5486606183. The cubic root of 100111004 is about 464.3305648281.

Adding to 100111004 its reverse (400111001), we get a palindrome (500222005).

The spelling of 100111004 in words is "one hundred million, one hundred eleven thousand, four".