100405400000 has 168 divisors, whose sum is σ = 263694653712. Its totient is φ = 37798400000.

The previous prime is 100405399999. The next prime is 100405400009. The reversal of 100405400000 is 4504001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100405400009) 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, 3385235 + ... + 3414765.

It is an arithmetic number, because the mean of its divisors is an integer number (1569611034).

Almost surely, 2^100405400000 is an apocalyptic number.

100405400000 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 100405400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131847326856).

100405400000 is an abundant number, since it is smaller than the sum of its proper divisors (163289253712).

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

100405400000 is an frugal number, since it uses more digits than its factorization.

100405400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29585 (or 29555 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 100405400000 its reverse (4504001), we get a palindrome (100409904001).

The spelling of 100405400000 in words is "one hundred billion, four hundred five million, four hundred thousand".