100454135256 has 128 divisors (see below), whose sum is σ = 289768550400. Its totient is φ = 32210161920.

The previous prime is 100454135251. The next prime is 100454135263. The reversal of 100454135256 is 652531454001.

100454135256 is a `hidden beast` number, since 10 + 0 + 4 + 541 + 3 + 52 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100454135256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100454135251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073316 + ... + 1163148.

It is an arithmetic number, because the mean of its divisors is an integer number (2263816800).

Almost surely, 2^100454135256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100454135256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144884275200).

100454135256 is an abundant number, since it is smaller than the sum of its proper divisors (189314415144).

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

100454135256 is a wasteful number, since it uses less digits than its factorization.

100454135256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90046 (or 90036 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 100454135256 its reverse (652531454001), we get a palindrome (752985589257).

The spelling of 100454135256 in words is "one hundred billion, four hundred fifty-four million, one hundred thirty-five thousand, two hundred fifty-six".