10005614421 has 16 divisors (see below), whose sum is σ = 14577162240. Its totient is φ = 6054199920.

The previous prime is 10005614371. The next prime is 10005614431. The reversal of 10005614421 is 12441650001.

It is a happy number.

It is not a de Polignac number, because 10005614421 - 2¹⁷ = 10005483349 is a prime.

It is a super-2 number, since 2×10005614421² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005614391 and 10005614400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005614431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224485 + ... + 265338.

It is an arithmetic number, because the mean of its divisors is an integer number (911072640).

Almost surely, 2^10005614421 is an apocalyptic number.

10005614421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005614421 is a deficient number, since it is larger than the sum of its proper divisors (4571547819).

10005614421 is a wasteful number, since it uses less digits than its factorization.

10005614421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490456.

The product of its (nonzero) digits is 960, while the sum is 24.

It can be divided in two parts, 10005 and 614421, that added together give a palindrome (624426).

The spelling of 10005614421 in words is "ten billion, five million, six hundred fourteen thousand, four hundred twenty-one".