10001100 has 144 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 2396160.

The previous prime is 10001093. The next prime is 10001107. The reversal of 10001100 is 110001.

It is an interprime number because it is at equal distance from previous prime (10001093) and next prime (10001107).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10001100 is a modest number, since divided by 1100 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188674 + ... + 188726.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^10001100 is an apocalyptic number.

10001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

10001100 is an abundant number, since it is smaller than the sum of its proper divisors (22059348).

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

10001100 is a wasteful number, since it uses less digits than its factorization.

10001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10001100 is about 3162.4515806570. The cubic root of 10001100 is about 215.4513683074.

Adding to 10001100 its reverse (110001), we get a palindrome (10111101).

It can be divided in two parts, 10001 and 100, that added together give a palindrome (10101).

The spelling of 10001100 in words is "ten million, one thousand, one hundred".