100344412410 has 64 divisors (see below), whose sum is σ = 263054421504. Its totient is φ = 24294945600.

The previous prime is 100344412373. The next prime is 100344412477. The reversal of 100344412410 is 14214443001.

It is a super-2 number, since 2×100344412410² (a number of 23 digits) contains 22 as substring.

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, 66525 + ... + 452895.

It is an arithmetic number, because the mean of its divisors is an integer number (4110225336).

Almost surely, 2^100344412410 is an apocalyptic number.

100344412410 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 100344412410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131527210752).

100344412410 is an abundant number, since it is smaller than the sum of its proper divisors (162710009094).

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

100344412410 is a wasteful number, since it uses less digits than its factorization.

100344412410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387179.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100344412410 its reverse (14214443001), we get a palindrome (114558855411).

The spelling of 100344412410 in words is "one hundred billion, three hundred forty-four million, four hundred twelve thousand, four hundred ten".