100006400135400 has 96 divisors (see below), whose sum is σ = 338203462298400. Its totient is φ = 24243975788800.

The previous prime is 100006400135363. The next prime is 100006400135407. The reversal of 100006400135400 is 4531004600001.

100006400135400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100006400135407) 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, 7576235835 + ... + 7576249034.

It is an arithmetic number, because the mean of its divisors is an integer number (3522952732275).

Almost surely, 2^{100006400135400} is an apocalyptic number.

100006400135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100006400135400 is an abundant number, since it is smaller than the sum of its proper divisors (238197062163000).

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

100006400135400 is a wasteful number, since it uses less digits than its factorization.

100006400135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15152484899 (or 15152484890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100006400135400 its reverse (4531004600001), we get a palindrome (104537404735401).

The spelling of 100006400135400 in words is "one hundred trillion, six billion, four hundred million, one hundred thirty-five thousand, four hundred".