100414214544 has 160 divisors (see below), whose sum is σ = 306702869760. Its totient is φ = 27712512000.

The previous prime is 100414214497. The next prime is 100414214569. The reversal of 100414214544 is 445412414001.

It is a super-2 number, since 2×100414214544² (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, 1355292 + ... + 1427460.

It is an arithmetic number, because the mean of its divisors is an integer number (1916892936).

Almost surely, 2^100414214544 is an apocalyptic number.

100414214544 is a gapful number since it is divisible by the number (14) 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 100414214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153351434880).

100414214544 is an abundant number, since it is smaller than the sum of its proper divisors (206288655216).

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

100414214544 is a wasteful number, since it uses less digits than its factorization.

100414214544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72329 (or 72323 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 100414214544 its reverse (445412414001), we get a palindrome (545826628545).

The spelling of 100414214544 in words is "one hundred billion, four hundred fourteen million, two hundred fourteen thousand, five hundred forty-four".