100443514243140 has 108 divisors (see below), whose sum is σ = 315547102434564. Its totient is φ = 25861318570752.

The previous prime is 100443514243129. The next prime is 100443514243199. The reversal of 100443514243140 is 41342415344001.

It is a happy number.

100443514243140 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 43 + 5 + 142 + 431 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1266363396 + 100442247879744 = 35586^2 + 10022088^2 .

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 = 100443514243095 and 100443514243104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331608147 + ... + 331910906.

Almost surely, 2^{100443514243140} is an apocalyptic number.

100443514243140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100443514243140 is an abundant number, since it is smaller than the sum of its proper divisors (215103588191424).

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

100443514243140 is a wasteful number, since it uses less digits than its factorization.

100443514243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663519126 (or 663519092 counting only the distinct ones).

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

Adding to 100443514243140 its reverse (41342415344001), we get a palindrome (141785929587141).

The spelling of 100443514243140 in words is "one hundred trillion, four hundred forty-three billion, five hundred fourteen million, two hundred forty-three thousand, one hundred forty".