100405135600 has 180 divisors, whose sum is σ = 306117101448. Its totient is φ = 31295040000.

The previous prime is 100405135577. The next prime is 100405135603. The reversal of 100405135600 is 6531504001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100405135603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17251 + ... + 448450.

Almost surely, 2^100405135600 is an apocalyptic number.

100405135600 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 100405135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153058550724).

100405135600 is an abundant number, since it is smaller than the sum of its proper divisors (205711965848).

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

100405135600 is a wasteful number, since it uses less digits than its factorization.

100405135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465744 (or 465726 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 100405135600 its reverse (6531504001), we get a palindrome (106936639601).

The spelling of 100405135600 in words is "one hundred billion, four hundred five million, one hundred thirty-five thousand, six hundred".