10040100 has 108 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 2291520.

The previous prime is 10040087. The next prime is 10040111. The reversal of 10040100 is 104001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14359 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^10040100 is an apocalyptic number.

10040100 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 10040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

10040100 is an abundant number, since it is smaller than the sum of its proper divisors (23801484).

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

10040100 is a wasteful number, since it uses less digits than its factorization.

10040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10040100 is about 3168.6116833718. The cubic root of 10040100 is about 215.7310610339.

Adding to 10040100 its reverse (104001), we get a palindrome (10144101).

The spelling of 10040100 in words is "ten million, forty thousand, one hundred".