10003414110 has 64 divisors (see below), whose sum is σ = 24930884160. Its totient is φ = 2566840320.

The previous prime is 10003414067. The next prime is 10003414111. The reversal of 10003414110 is 1141430001.

It is a super-2 number, since 2×10003414110² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10003414110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003414111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34086 + ... + 145494.

It is an arithmetic number, because the mean of its divisors is an integer number (389545065).

Almost surely, 2^10003414110 is an apocalyptic number.

10003414110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003414110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465442080).

10003414110 is an abundant number, since it is smaller than the sum of its proper divisors (14927470050).

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

10003414110 is a wasteful number, since it uses less digits than its factorization.

10003414110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111533.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10003414110 its reverse (1141430001), we get a palindrome (11144844111).

The spelling of 10003414110 in words is "ten billion, three million, four hundred fourteen thousand, one hundred ten".