100422544400 has 120 divisors (see below), whose sum is σ = 243055604904. Its totient is φ = 39872102400.

The previous prime is 100422544393. The next prime is 100422544403. The reversal of 100422544400 is 4445224001.

It can be written as a sum of positive squares in 12 ways, for example, as 65210772496 + 35211771904 = 255364^2 + 187648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100422544400.

It is not an unprimeable number, because it can be changed into a prime (100422544403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32174840 + ... + 32177960.

Almost surely, 2^100422544400 is an apocalyptic number.

100422544400 is a gapful number since it is divisible by the number (10) 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 100422544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121527802452).

100422544400 is an abundant number, since it is smaller than the sum of its proper divisors (142633060504).

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

100422544400 is a wasteful number, since it uses less digits than its factorization.

100422544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 100422544400 its reverse (4445224001), we get a palindrome (104867768401).

The spelling of 100422544400 in words is "one hundred billion, four hundred twenty-two million, five hundred forty-four thousand, four hundred".