100052415144 has 72 divisors (see below), whose sum is σ = 297848899530. Its totient is φ = 30318911040.

The previous prime is 100052415137. The next prime is 100052415157. The reversal of 100052415144 is 441514250001.

100052415144 is a `hidden beast` number, since 100 + 0 + 5 + 2 + 41 + 514 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75274507044 + 24777908100 = 274362^2 + 157410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100052415144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5733507 + ... + 5750930.

Almost surely, 2^100052415144 is an apocalyptic number.

It is an amenable number.

100052415144 is an abundant number, since it is smaller than the sum of its proper divisors (197796484386).

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

100052415144 is a wasteful number, since it uses less digits than its factorization.

100052415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484471 (or 11484453 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 100052415144 its reverse (441514250001), we get a palindrome (541566665145).

The spelling of 100052415144 in words is "one hundred billion, fifty-two million, four hundred fifteen thousand, one hundred forty-four".