100415000448 has 384 divisors, whose sum is σ = 336223742400. Its totient is φ = 28174417920.

The previous prime is 100415000429. The next prime is 100415000507. The reversal of 100415000448 is 844000514001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129902590 + ... + 129903362.

Almost surely, 2^100415000448 is an apocalyptic number.

100415000448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100415000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168111871200).

100415000448 is an abundant number, since it is smaller than the sum of its proper divisors (235808741952).

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

100415000448 is a wasteful number, since it uses less digits than its factorization.

100415000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 100415000448 its reverse (844000514001), we get a palindrome (944415514449).

The spelling of 100415000448 in words is "one hundred billion, four hundred fifteen million, four hundred forty-eight", and thus it is an aban number.