10003134414 has 64 divisors (see below), whose sum is σ = 24719256576. Its totient is φ = 2627887104.

The previous prime is 10003134389. The next prime is 10003134431. The reversal of 10003134414 is 41443130001.

It is a super-2 number, since 2×10003134414² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104679 + ... + 175965.

It is an arithmetic number, because the mean of its divisors is an integer number (386238384).

Almost surely, 2^10003134414 is an apocalyptic number.

10003134414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003134414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359628288).

10003134414 is an abundant number, since it is smaller than the sum of its proper divisors (14716122162).

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

10003134414 is a wasteful number, since it uses less digits than its factorization.

10003134414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71569.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10003134414 its reverse (41443130001), we get a palindrome (51446264415).

The spelling of 10003134414 in words is "ten billion, three million, one hundred thirty-four thousand, four hundred fourteen".