100454136444 has 144 divisors (see below), whose sum is σ = 275192805888. Its totient is φ = 32009499648.

The previous prime is 100454136443. The next prime is 100454136451. The reversal of 100454136444 is 444631454001.

100454136444 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 4 + 1 + 3 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100454136399 and 100454136408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100454136443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1938844 + ... + 1989980.

It is an arithmetic number, because the mean of its divisors is an integer number (1911061152).

Almost surely, 2^100454136444 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 100454136444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137596402944).

100454136444 is an abundant number, since it is smaller than the sum of its proper divisors (174738669444).

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

100454136444 is a wasteful number, since it uses less digits than its factorization.

100454136444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51246 (or 51232 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 100454136444 in words is "one hundred billion, four hundred fifty-four million, one hundred thirty-six thousand, four hundred forty-four".